$$triangle XYZ \sim \triangle GST$$ and XY : GS= 2:3, XV is the median to the side YZ, and GD is the median to the side ST. The value of $$(\frac{YV}{SD})^{2}$$ is _________.

A

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

B

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

C

$$\frac{1}{4}$$

D

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