An electrically-variable transmission is provided with first and second motor/generators and three planetary gear sets. The planetary gear sets have continuous interconnections, and selective connections via a plurality of torque-transmitting mechanisms, that provide three forward electrically-variable modes. Preferably, the planetary gear sets are characterized by effective gear ratios such that a substantially equal maximum torque is required from each of the motor/generators during the three forward electrically-variable modes for a given torque on the input member. This allows the first and second motor/generators to be substantially equal in size.