Theorems about Parallelograms Practice Test

In triangle $$PQR$$, the three medians intersect at point $$G$$. If median $$PS$$ has length $$15$$, where $$S$$ is the midpoint of $$QR$$, what is the distance from $$G$$ to vertex $$P$$?

Triangle $$JKL$$ has medians $$JM$$, $$KN$$, and $$LO$$ that intersect at centroid $$G$$. If $$JM = 21$$ and $$KN = 18$$, and the distance from $$K$$ to $$G$$ is $$12$$, what is the distance from $$G$$ to the midpoint $$M$$ of side $$KL$$?