What does it mean to find the point p on gk such that 3(gp)= 2(pk)

It means that point P is somewhere between line GK. Its relative location can be determined through estimation by the given ratio of 3 GP = 2 PK. Rearranging the equation, it is equal to GP/PK = 2/3. Thus, it means that the length of line segment GP is less than line segment PK. You can draw a line segment GK. Divide them into five segments. Point P should be placed nearer to point G than point K. The illustration is shown in the picture.