Parabola

The ordinates of the points P and \(\mathrm{Q}\) on the parabola with focus \((3,0)\) and directrix \(x=-3\) are in the ratio \(3: 1\). If \(\mathrm{R}(\alpha, \beta)\) is the point of intersection of the tangents to the parabola at \(\mathrm{P}\) and \(\mathrm{Q}\), then \(\frac{\beta^{2}}{\alpha}\) is equal to _______________.