Etymology
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Words related to apportion

ad- 

word-forming element expressing direction toward or in addition to, from Latin ad "to, toward" in space or time; "with regard to, in relation to," as a prefix, sometimes merely emphatic, from PIE root *ad- "to, near, at."

Simplified to a- before sc-, sp- and st-; modified to ac- before many consonants and then re-spelled af-, ag-, al-, etc., in conformity with the following consonant (as in affection, aggression). Also compare ap- (1).

In Old French, reduced to a- in all cases (an evolution already underway in Merovingian Latin), but French refashioned its written forms on the Latin model in 14c., and English did likewise 15c. in words it had picked up from Old French. In many cases pronunciation followed the shift.

Over-correction at the end of the Middle Ages in French and then English "restored" the -d- or a doubled consonant to some words that never had it (accursed, afford). The process went further in England than in France (where the vernacular sometimes resisted the pedantic), resulting in English adjourn, advance, address, advertisement (Modern French ajourner, avancer, adresser, avertissement). In modern word-formation sometimes ad- and ab- are regarded as opposites, but this was not in classical Latin.

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portion (n.)

early 14c., porcioun, "allotted part, part assigned or attributed, share," also "lot, fate, destiny," from Old French porcion "part, portion" (12c., Modern French portion) and directly from Latin portionem (nominative portio) "share, part," accusative of the noun in the phrase pro portione "according to the relation (of parts to each other)," ablative of *partio "division," related to pars "a part, piece, a share, a division" (from PIE root *pere- (2) "to grant, allot").

Meaning "a part of a whole" is from mid-14c. From late 14c. in the general sense of "section into which something is divided."

apportionment (n.)

"a dividing into portions or shares," 1620s, from apportion + -ment. Perhaps influenced by French apportionnement. In U.S. especially of distribution of seats in the House of Representatives.

reapportion (v.)

also re-apportion, "make a new apportionment," 1832, from re- + apportion or else a back-formation from reapportionment. Related: Reapportioned; reapportioning.