A field experiment was conducted at the field of the Dept. of Field Crop Sci. / College of Agriculture / University of Baghdad . The objective was to determine the values of relative constant of three – way and double crosses of maize . Ten inbreds were used and crossed during spring and fall seasons of 2009 to produce three - way and double crosses , and ten hybrids were taken from each group . The ten hybrids were grown and selfed during spring 2010 to produce 2 seed . Three way and double crosses were sown with their parents and 2 seed during fall 2010 in RCBD with four replicates . Leaf area , total dry matter , row/ear , grain/ear , grain weight and grain weight/plant of hybrids , parents and 2 plants were taken . Results showed that the relative constant obtained was applicable to estimate ̅2 of hybrids . However , leaf area was different in values of ̅2 , as compared to that observed in the field . The relative constant values were different as trait and parent number of crosses differ . The obtained relative constant of grain weight/plant was (0.576) and (0.556) , grain weight (0.521) and (0.516) , grain /ear (0.571) and (0.554) , raw / ear (0.509) and (0.502) , total dry matter . plant -1 (0.553) and (0.541) and leaf area (0.508) and (0.495) in three way and double crosses , respectively . It was concluded that the application of relative constant , to predict parent means ( ̅), ̅2 and parent number (n) was fit as compared to Wright's equation [ ̅2= ̅1 – ( ̅1 - ̅)/n ] . Accordingly , it was recommended to use the formula [ ̅2 = χ ( ̅1 + ̅)] to predict ̅2 of hybrids , [ ̅ = ( ̅ 2 / χ ) – ̅ 1] to predict ̅, and [ n = ( ̅1 - ̅ ) / ( ̅1 - ̅2 ) ] to predict number of inbreds included in the hybrid