Triangle $$ABC$$ is similar to triangle $$PQR$$ and $$AB : PQ = 2 : 3. AD$$ is the median to the side $$BC$$ in triangle $$ABC$$ and $$PS$$ is the median to the side $$QR$$ in triangle $$PQR.$$ What is the value of $$(\frac{BD}{QS})^2$$?

A

$$\frac{3}{5}$$

B

$$\frac{4}{9}$$

C

$$\frac{2}{3}$$

D

$$\frac{4}{7}$$