Find the point that divides a line segment internally or externally in a given ratio.
Last updated: June 2026 | By Patchworkr Team
Enter both points and the ratio as real numbers.
For internal division, the point uses a weighted average of the endpoints.
Both x and y coordinates use the same ratio and the same division type.
1. Choose internal or external division.
2. Enter the endpoints and the ratio m:n.
3. Read the live dividing point and segment lengths.
For internal division of A(2, 3) and B(8, 9) in ratio 2:1:
P = ((2*8 + 1*2) / 3, (2*9 + 1*3) / 3) = (6, 7)
The calculator should show (6, 7).
No. This tool expects positive ratio parts.
The formula becomes undefined, so the tool rejects it.
Yes. Add the z coordinate with the same weighting.
Only for internal division. External division places it outside.
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