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 of \( P \) and \( Q \), then \( \dfrac{\beta^2}{\alpha} \) is equal to ________.
