Midpoint In 3D Calculator

Work out midpoint in 3d instantly with clear inputs, formula shown and shareable results.

About Midpoint In 3D Calculator

The midpoint averages each coordinate. More generally, dividing internally in the ratio m : 1 gives (mB + A)/(m + 1), which reduces to the midpoint when m = 1.

Formulas

Midpoint

M = ((x₁+x₂)/2, (y₁+y₂)/2, (z₁+z₂)/2)

Section formula

P = (mB + A) / (m + 1)

Worked example

With the default values below, Midpoint In 3D Calculator returns Midpoint of (5, 7, 10). Change any input above and every figure here is recalculated in your browser.

Inputs used

First point (x, y, z): 2, 4, 6
Second point (x, y, z): 8, 10, 14
Divide in the ratio (this part : 1)minimum 0: 1

Results

Midpoint: (5, 7, 10)
Point at your ratio: (5, 7, 10)
Length of the segment: 11.66190379
Half the length: 5.83095189

Step by step

1Values used
2Midpoint
3Section formula
4Midpoint= (5, 7, 10)
5Point at your ratio= (5, 7, 10)
6Length of the segment= 11.66190379
7Half the length= 5.83095189

Assumptions and limits

The result is derived only from the 3 inputs listed above. Anything not among them is not part of the calculation.
In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
Figures are rounded for display to 8 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

Midpoint of (2,4,6) and (8,10,14)?

(5, 7, 10), and the segment has length √(36 + 36 + 64) = √136 ≈ 11.6619038.

Is the midpoint equidistant from both ends?

Yes, by construction it is exactly half the segment length from each endpoint.