Doubt. Please solve

Sides $AB$ and $AC$ and median of a triangle $ABC$ are, respectively, proportional to sides $PQ$ and $PR$ and median $PM$ of another triangle $PQR$ . Show that triangle $ABC$ is similar to triangle $PQR$ .

I know the solution to this question but I need help. I want to know why was a construction done to the two triangles. What was the logic behind the construction? Or is there any other method to solve this question other than my method?

#Geometry

Easy Math Editor

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Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$