Midpoint Calculator

Find the midpoint between two points in 2D or 3D space.

By Konstantin Iakovlev · Updated April 2026 · Source: Khan Academy

Midpoint

(5.00, 5.00)

Distance

7.2111

Midpoint Formula

FormulaM = ((x1+x2)/2, (y1+y2)/2)
Midpoint X5.00
Midpoint Y5.00
Midpoint(5.00, 5.00)

Use the Midpoint Calculator above to calculate your results. Enter your values and see instant results — all calculations run in your browser.

Disclaimer: This calculator is for informational purposes only and does not constitute tax, financial, or legal advice. Results are estimates based on the information you provide and current rates. Always consult a qualified tax professional or financial advisor for advice specific to your situation.

How It Works

Finding the exact center between two coordinates is a small operation with surprisingly wide reach. Surveyors, urban planners siting a 2026 public transport hub equidistant from two neighborhoods, and game developers placing an object squarely between two reference points all lean on the same idea: split the distance evenly along every axis. The tool works whether your points live in a flat 2D plane or in full 3D space.

The math is the midpoint formula, which simply averages the matching coordinates of each point. Given two points P1(x1, y1, z1) and P2(x2, y2, z2), the midpoint M is M((x1 + x2)/2, (y1 + y2)/2, (z1 + z2)/2). Adding the coordinate pairs and dividing by two guarantees the result sits the same distance from each of the original points.

Watch your signs and stay consistent within one coordinate system, since a misplaced negative is the single most common reason a result lands far from where you expect. Mixed positive and negative values are fine as long as you enter them correctly. Note too that the answer is always one point, even when the inputs describe vectors or travel paths rather than fixed locations.

Example: Locating a 2026 Drone Delivery Hub

  1. 1 A logistics company wants to establish a new drone delivery hub equidistant from two major distribution centers. Center A is located at (15.2 km East, 8.7 km North, 0.1 km altitude) and Center B is at (23.8 km East, 14.3 km North, 0.3 km altitude).
  2. 2 We'll apply the midpoint formula: x_mid = (15.2 + 23.8)/2, y_mid = (8.7 + 14.3)/2, z_mid = (0.1 + 0.3)/2.
  3. 3 This simplifies to x_mid = 39.0/2, y_mid = 23.0/2, z_mid = 0.4/2.
  4. 4 The optimal location for the drone delivery hub is (19.5 km East, 11.5 km North, 0.2 km altitude). This central position is projected to reduce average drone flight times by 18% and save the company approximately $1.2 million in fuel costs in 2026.

Source: Khan Academy · Last updated: April 2026

Frequently Asked Questions

How do I find the midpoint between two points?
The midpoint formula is ((x1+x2)/2, (y1+y2)/2). Simply average the x-coordinates and average the y-coordinates. For example, the midpoint of (2, 4) and (8, 10) is (5, 7).
Can I find the midpoint in 3D space?
Yes. Add the z-coordinate: ((x1+x2)/2, (y1+y2)/2, (z1+z2)/2). The concept is the same as 2D but extended to three dimensions. Each coordinate of the midpoint is the average of the corresponding coordinates of the two endpoints.
What is the midpoint used for in real life?
Midpoints are used to find the center of a line segment in geometry, determine the meeting point between two locations, calculate the center of a property boundary, and locate the centroid of shapes in engineering and design.

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