Calculating your midpoint x is straightforward once you know the 3D Midpoint formula and what each input means. This guide explains the method in plain language, walks through a manual calculation, and gives worked examples you can follow — then you can do it instantly with the 3D Midpoint Calculator.
What is 3D Midpoint?
The 3D Midpoint calculation tells you your midpoint x from a few simple inputs. The figure you are solving for here is the midpoint x.
The 3D Midpoint formula
The core formula is:
Midpoint x = (Point 1 — x + Point 2 — x) ÷ 2Here is what each input means:
- Point 1 — x — a number. Example: 0.
- Point 1 — y — a number. Example: 0.
- Point 1 — z — a number. Example: 0.
- Point 2 — x — a number. Example: 10.
- Point 2 — y — a number. Example: 10.
- Point 2 — z — a number. Example: 10.
How to calculate it step by step
- Write down the point 1 — x (for example, 0).
- Write down the point 1 — y (for example, 0).
- Write down the point 1 — z (for example, 0).
- Write down the point 2 — x (for example, 10).
- Write down the point 2 — y (for example, 10).
- Write down the point 2 — z (for example, 10).
- Apply the formula above to get your midpoint x.
- Double-check the result with the 3D Midpoint Calculator.
Worked examples
Example 1
| Input / Output | Value |
|---|---|
| Point 1 — x | 0 |
| Point 1 — y | 0 |
| Point 1 — z | 0 |
| Point 2 — x | 10 |
| Point 2 — y | 10 |
| Point 2 — z | 10 |
| Midpoint x | 5.0000 |
| Midpoint y | 5.0000 |
| Midpoint z | 5.0000 |
With point 1 — x of 0, point 1 — y of 0, point 1 — z of 0 and point 2 — x of 10, the midpoint x works out to 5.0000.
Tips for an accurate result
- Keep your units consistent — mixing, say, months with years or grams with kilograms is the most common source of error.
- Round only at the very end. Rounding inputs early can shift the final answer noticeably.
- Re-run the numbers whenever an input changes, rather than estimating from an old result.
Prefer not to do the maths by hand? — the 3D Midpoint Calculator does it instantly, for free, with the formula and a worked example built in.
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