Let and be any two points on the line.

Let a point be the point which divides PQ in the ratio i.e. PR : PQ =

From P, R and Q draw PM, RN and OL perpendicular to x-axis.

From ‘P’ draw to RN.

From ‘R’ draw to QL.

Since the right triangles and

and are similar triangle.

Cross Multiplication

Cross Multiplication

Required Point