Linked from
The 22 pages that link to Metonic cycle, each with the reason it gives.
Leap yearRelated: Lunisolar calendars use this cycle to schedule inserted months.
Lunar monthRelated: It provided a way to reconcile lunar months with the solar year.
Full moonRelated: It helps reconcile full-moon dates with recurring seasons in lunisolar calendars.
Solar yearRelated: It helped ancient calendars reconcile lunar months with the seasonal year.