The third petition of the Lord's Prayer, which is "Thy will be done on earth as it is in heaven," relates to the second petition, "Thy kingdom come," in that it extends the concept of God's reign and authority.
The second petition focuses on the coming of God's kingdom, which implies the realization of His divine rule and governance. The third petition emphasizes not just the arrival of the kingdom but also the active participation of believers in aligning their lives with God’s will in the present. Together, they reflect a progression of thought where the establishment of God's kingdom is intricately linked with the obedience to His will.