Definition:
Divine approval refers to the favor and acceptance granted by God to individuals, actions, or offerings that align with His will and commandments. It is a state of being in harmony with God's desires and purposes, resulting in His blessing and endorsement.

Biblical Basis:
The concept of divine approval is woven throughout the Scriptures, illustrating the importance of living a life that pleases God. It is often associated with righteousness, obedience, faith, and a heart aligned with God's will.

Old Testament Examples:
1. Abel's Offering: In Genesis 4:4, Abel's offering is described as being looked upon with favor by God: "And Abel also brought an offering—fat portions from some of the firstborn of his flock. The LORD looked with favor on Abel and his offering." Abel's sacrifice was accepted because it was offered in faith and sincerity.

2. Noah's Righteousness: Noah found favor in the eyes of the Lord due to his righteousness and obedience. Genesis 6:8 states, "But Noah found favor in the eyes of the LORD." Noah's life of integrity amidst a corrupt generation earned him divine approval, leading to his preservation during the flood.

3. David's Heart: David is described as a man after God's own heart, indicating divine approval of his character and intentions. In 1 Samuel 13:14, God declares, "The LORD has sought out a man after His own heart and appointed him ruler of His people."

New Testament Examples:
1. Jesus' Baptism: At Jesus' baptism, divine approval is explicitly expressed by God the Father. Matthew 3:17 records, "And a voice from heaven said, 'This is My beloved Son, in whom I am well pleased.'" This affirmation highlights Jesus' perfect obedience and alignment with the Father's will.

2. The Faith of the Centurion: In Matthew 8:10, Jesus commends the centurion's faith, saying, "Truly I tell you, I have not found anyone in Israel with such great faith." The centurion's understanding of authority and his trust in Jesus' power received divine approval.

3. Paul's Ministry: The Apostle Paul often speaks of seeking God's approval rather than human approval. In Galatians 1:10, he writes, "Am I now seeking the approval of men, or of God? Or am I striving to please men? If I were still trying to please men, I would not be a servant of Christ." Paul's focus on divine approval guided his ministry and teachings.

Theological Significance:
Divine approval is central to the believer's relationship with God. It underscores the importance of living a life that reflects God's character and commands. The pursuit of divine approval involves faith, obedience, and a heart devoted to God. It is not earned through human effort alone but is a response to God's grace and empowerment through the Holy Spirit.

Practical Implications:
1. Obedience to God's Word: Believers are called to live according to Scripture, seeking to align their actions and attitudes with God's revealed will.

2. Faith and Trust: Like Abel and the centurion, faith is a key component of divine approval. Trusting in God's promises and His character is essential.

3. Heart Posture: God looks at the heart, as seen in His approval of David. A heart that seeks God and desires to please Him is crucial for receiving divine approval.

4. Focus on Eternal Rewards: As Paul exemplified, seeking God's approval rather than human praise leads to eternal rewards and a deeper relationship with God.

Conclusion:
Divine approval is a profound theme in the Bible, emphasizing the importance of living a life that pleases God. Through faith, obedience, and a heart aligned with His will, believers can experience the favor and blessing of their Creator.