The other answer was clearly incorrect. The 1st pick of the third round in 2015 averages $853,000 per year for four years of his contract. The last pick of the third round in 2015, which was a compensatory pick averages $724,000 per year. The rest of the third round picks are slotted somewhere in between.
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First of all, there is no 'standard' what a player should earn. Both the team and the player's agent will negotiate about a contract. However, the first third round pick in the 2008 NFL Draft, RB Kevin Smith, earns $944,891. Another RB out of the third round, Jacob Hester of the San Diego Chargers earns $1,128,850. Chiefs RB Jamaal Charles earns $895,000 while Texans RB Steve Slaton makes $959,386. So Slaton, the last RB selected in the third round earns more than Kevin Smith, the first one selected. The position is also an important factor in what a player is paid. For instance, Bengals DT Pat Sims earns $1,063,200 while Falcons S Thomas Decoud makes $892,980 a year.