With Pilates exercises, all movement starts from your core - Pilates targets the deep core muscles that connect your entire body - this results in increased core strength. Most sports rely on core strength for performance. 
Your core is the link between your upper and lower body, it is what allows a golfer to swing the club to strike the ball, a footballer to manoeuver at speed and kick the ball, a cyclist to remain stable on the saddle and power the pedals, and a swimmer to rotate their torso and kick their legs.