Two masses $M_{1}$ and $M_{2}$ are tied together at the two ends of a light inextensible string that passes over a frictionless pulley. When the mass $M_{2}$ is twice that of $M_{1}$, the acceleration of the system is $a_{1}$. When the mass $M_{2}$ is thrice that of $M_{1}$, the acceleration of the system is $a_{2}$. The ratio $\frac{a_{1}}{a_{2}}$ will be :