5.2.4.4 Various Problems on the Plane

On the basis of \ (b c \) and the side \ (c d \) trapezoid \ (a b c d \) points \ (m \) and \ (n \). Segments \ (a m \) and \ (b n \) intersect at point \ (k \). It is known that \ (a k = 3 k m, k n = 2 b k \). In what relation is the point \ (n \) divides the side side \ (C D \)?