Definitions for "Apportion"
To divide and assign in just proportion; to divide and distribute proportionally; to portion out; to allot; as, to apportion undivided rights; to apportion time among various employments.
To divide up or distribute in proportion to something. In this case, the larger the population of a state, the more representatives it has and the more taxes come from it.
distribute according to a plan or set apart for a special purpose; "I am allocating a loaf of bread to everyone on a daily basis"; "I'm allocating the rations for the camping trip"
Keywords:  portion, share, one
give out as one's portion or share