Perspective Projection is used for representing a three-dimensional scene in a two-dimensional medium, like Computer Screen. So how do we do it?
Here we are assuming everything is happening behind our Near plane or "the computer screen", in a Viewing frustum. So this provides the appearance that the farther away object is from the viewer, the smaller it appears.
As the final target is to map a 3D coordinate (x,y,z) to a 2D coordinate (x,y).