Distance Formula Calculator
Distance between two points in 2D or 3D.
Geometry Calculators
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Midpoint Calculator
The midpoint between two points, or the endpoint from a midpoint.
Midpoint Calculator tool
The second point, or the midpoint.
Leave at 1 for the midpoint. 2 gives the point a third of the way along.
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Answer
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X
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Y
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Distance between the points
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At your ratio
About the Midpoint Calculator
Midpoint Calculator averages two points to find the one exactly between them, and works the problem backwards: given one end and the midpoint, it returns the other end. That second case comes up more often than the first in coursework, and the arithmetic -- twice the midpoint minus the known end -- is the part worth seeing written out.
The ratio field generalises the idea. A midpoint divides a line in the ratio one to one; setting the ratio to two gives the point a third of the way along, and so on. That is the section formula, and it is what you need for dividing a line into equal parts or placing something a set fraction of the way between two positions.
The distance between the points is shown alongside, since it is the other thing two coordinates determine and it is almost always wanted at the same time. The midpoint is half that distance from each end, which is a useful check on the answer.
The page shows its working, not just its answer. Where there is a formula it is printed with your own numbers substituted in, so you can check the result rather than take it on trust -- which is the difference between a calculator you can use for something that matters and one you cannot.
Everything runs inside your browser. What you type is never uploaded, never logged and never stored, and the calculator keeps working if your connection drops after the page has loaded.
Looking for something this does not cover? FreeToolsZone.org is more free browser-based tools, organised by job, and it is worth a look if midpoint calculator is only part of what you are working on.
How to use the Midpoint Calculator
- Choose work outThe fields below change to match what you pick, so only the figures that matter to your case are asked for.
- Enter x1, y1 and x2Decimals are fine, and thousands separators are accepted and ignored.
- Read the answer, x and yThe figures update as you type. The Calculate button is there if you would rather press something, but nothing waits for it.
- Copy or check the resultCopy the summary with the copy button, or read the formula with your own numbers in it.
Features
- Shows answer, x, y, distance between the points and at your ratio together, so you are not running it twice
- Prints the formula with your own figures substituted in
- Updates as you type, with no button to press and no page reload
- Copy the result in one click
- Free, no sign-up, and it runs entirely in your browser
Who uses this tool
The midpoint calculator is used by writers, developers, students, marketers and anyone else who needs the job done once without installing software. Common cases include:
- Finding the centre of a line segment
- Working back to a missing endpoint
- Dividing a line in a given ratio
- Locating the centre of a rectangle from two opposite corners
Frequently asked questions
What is the midpoint formula?
The average of the two x values and the average of the two y values. That is all it is, which is why it extends to three dimensions unchanged.
How do I find a missing endpoint?
Double the midpoint and subtract the known end, coordinate by coordinate. The calculator does it when you choose that option.
What does the ratio option do?
It finds the point dividing the segment in the ratio you give, measured from the first point. One to one is the midpoint.
Related tools
If the midpoint calculator is not quite what you need, these other free tools solve closely related problems, and there are 16 more in geometry calculators.
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Checked and rebuilt on 2026-10-14. The method this calculator uses is described in the section above, and corrections go through the contact page.