The ordinates of the points \(P\) and \(Q\) on the parabola with focus \((3,0)\) and directrix \(x=-3\) are in the ratio…

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