An ac circuit has an inductor and a resistor of resistance R in series, such that X_L=3 R. Now, a capacitor is added in series such that X_C =2 R.…

An ac circuit has an inductor and a resistor of resistance $\displaystyle R$ in series, such that $\displaystyle X_L=3 R$. Now, a capacitor is added in series such that $\displaystyle \mathrm{X}_{\mathrm{C}}=2 \mathrm{R}$. The ratio of new power factor with the old power factor of the circuit is $\displaystyle \sqrt{5}: x$. The value of $\displaystyle x$ is \_\_\_\_.