For the reaction, X → Y as it follows second order kinetics, therefore the rate law equation will be
Rate = k[X]2 = ka2
if [X] = a mol-1
if the concentration of X is increased three times, then
[X] = 3a mol L-1
∴ Rate = k (3a)2 = 9 ka2
Thus, the rate of the reaction will become 9 times.
Hence the rate of formation of Y will increase by 9 times.