What is the context?
The elder writes personally to Gaius, whom he loves in the truth. He prays for Gaius’s well-being and good health alongside the well-being of his soul. The greeting shows concern for his whole life.
The word translated prosper can mean to fare well or succeed. Thayer lists this verse under that broader sense. The prayer expresses a desire for Gaius’s welfare; its wording does not guarantee that every faithful believer will become wealthy or remain physically healthy.
The reason for the elder’s joy is the report brought by other believers: Gaius continues to walk in the truth. The elder speaks of his children with affection and delights in seeing their faith shape their lives. The letter does not identify Gaius with any other man of the same name in the New Testament.
How is this passage commonly understood?
Wesley and the USCCB notes understand walking in the truth as Christian faith expressed in life. Wesley suggests that Gaius may be the man Paul knew in Corinth, but presents that identification as a possibility. It is not supplied by the letter itself. Their shared emphasis is the encouragement given by Gaius’s faithful conduct.
Where does this fit in God's plan?
John 13:34–35 says that the disciples’ love will make their connection to Jesus known. Gaius’s conduct illustrates that purpose: the truth becomes visible enough for other believers to report it. The comparison is a parallel in the life of disciples, rather than a claim that Jesus was predicting this particular report.
What is our position?
We don't have a position on this passage yet. When our study reaches a conclusion the text supports, it will appear here.