A family of power transmissions includes three planetary gearsets, each of which has three members, and six torque-transmitting mechanisms, which are selectively engageable to establish at least seven forward speed ratios and one reverse speed ratio between a transmission input shaft and a transmission output shaft. Each of the family members has a first member of the first planetary gearset continuously interconnected with a first member of the second planetary gearset, a second member of the second planetary gearset continuously interconnected with a first member of the third planetary gearset, and a second member of the first planetary gearset continuously interconnected with either a third member of the second planetary gearset or a second member of the third planetary gearset. One member of the first planetary gearset is continuously interconnected with a transmission housing, and a transmission output shaft is continuously interconnected with at least one member of one the planetary gearsets.