▁determ ining ▁the ▁minimum ▁number ▁of ▁represent atives , ▁the ▁final ▁version ▁of ▁the ▁am end ment ▁was ▁not . ▁As ▁a ▁result ▁of ▁the ▁last - min ute ▁" less " ▁to ▁" more " ▁word ing ▁change ▁made ▁by ▁the ▁House , ▁an ▁incons ist ency ▁exists ▁in ▁the ▁mathematical ▁formula ▁when ▁the ▁nation ' s ▁population ▁is ▁between ▁eight ▁million ▁and ▁ten ▁million , ▁as ▁the ▁final ▁version ▁of ▁the ▁proposed ▁am end ment ▁spec ifies ▁a ▁minimum ▁number ▁of ▁House ▁seats ▁greater ▁than ▁the ▁maximum . ▁As ▁a ▁result , ▁the ▁am end ment ▁would ▁be ▁un work able ▁and ▁any ▁number ▁of ▁represent atives ▁un const itution al . ▁ ▁Mad ison ’ s ▁am end ment ▁describes ▁an ▁“ iter ative ” ▁procedure ▁to ▁allocate ▁House ▁seats . ▁ ▁R ather ▁than ▁a ▁mathematical ▁equation , ▁it ▁states ▁three ▁consecutive ▁examples ▁linking ▁overall ▁population ▁to ▁the ▁number ▁of ▁House ▁Representatives . ▁By ▁ext rap ol ating ▁this ▁imp lied ▁formula , ▁the ▁number ▁of ▁people ▁per ▁district ▁r ises ▁as ▁the ▁country ▁grows , ▁rather ▁than ▁remaining ▁fixed . ▁▁ ▁The ▁historian ▁David ▁Ky v ig ▁wrote ▁in ▁ 2 0 1 6 ▁that ▁the ▁am end ment ' s ▁formula ▁would ▁have ▁a ▁resulted ▁in ▁a ▁( com par atively ) ▁more ▁mod est ▁increase ▁in ▁the ▁size ▁of ▁the ▁current ▁Congress : ▁ ▁In ▁other ▁words , ▁the ▁am end ment ▁does ▁not ▁suggest ▁districts ▁representing ▁ 5 0 , 0 0 0 ▁people ▁as