Chemical Equilibrium

At a given temperature and pressure, the equilibrium constant values for the equilibria are given below:

$$\begin{aligned} & 3 \mathrm{~A}_2+\mathrm{B}_2 \rightleftharpoons 2 \mathrm{~A}_3 \mathrm{~B}, \mathrm{~K}_1 \\ & \mathrm{~A}_3 \mathrm{~B} \rightleftharpoons \frac{3}{2} \mathrm{~A}_2+\frac{1}{2} \mathrm{~B}_2, \mathrm{~K}_2 \end{aligned}$$

The relation between \(\mathrm{K}_1\) and \(\mathrm{K}_2\) is :