A progressive game is implemented on a gaming system, wherein the gaming system includes one or more gaming machines connected to a game server, and wherein the progressive game has a progressive prize value that increases according to a progressive prize growth rate. The progressive game includes a selectable targeted progressive prize value, a selectable targeted progressive prize time, and one or more enticement factors. The progressive prize growth rate is calculated using the selectable targeted progressive prize value, the selectable targeted progressive prize time, and the one or more enticement factors. The selectable targeted progressive prize time is used to calculate the predetermined time period for testing for a progressive prize win. If a progressive prize win has not been identified, the progressive prize value is incremented by the progressive prize growth rate. If a progressive prize win has been identified, one or more winners are determined.