The latusrectum of a parabola whose focal chord is $PSQ$ such that $SP = 3$ and $SQ = 2,$ is given by

Since the semi-latusrectum of a parabola is the

HM of segments of a focal chord.

$\therefore$ Semi-latusrectum  $=\frac{2SP\cdot SQ}{SP+SQ}=\frac{12}{5}\Rightarrow$ latusrectum $=\frac{24}{5}$