1 Kings 3 - Almost everyone who reads this chapter comes to verse 5 and wonders how they would have responded to God's question, "Ask! What shall I give you?" God gave Solomon the opportunity to request anything he wanted and Solomon displayed a certain wisdom that would guide him to ask for more of the same: WISDOM! He knew his youth and inexperience in leadership put him at risk of making some terrible decisions. Therefore, he asked God to provide what he needed to govern God's people properly. This request "pleased the Lord" and Solomon was given what he asked for, but he was blessed with abundantly more since he wasn't selfish in the first place. The chapter closes with the famous incident of the two prostitutes coming with a dilemma that required "the wisdom of Solomon" to handle!
1 Kings 4 - Who would help Solomon in ruling the people of Israel? This chapter gives the names of the officials Solomon wisely chose to serve with him. This is an example of the use of God's wisdom that was given to Solomon. At the end of this chapter Solomon's wisdom is compared to others and his insights into all of nature is described.
2 Chronicles 1 - As is true in 1 Kings 3, God asks Solomon for what he wanted. Solomon already showed wisdom in his request - he asked for greater wisdom to rule his people. He knew he couldn't possibly govern such a great people on his own. This chapter also speaks of Solomon accumulating horses and chariots for his army. Note in verse 15 that there was so much silver and gold that they were considered "common" among the people.
Psalm 72 - This Psalm is attributed to Solomon and though he could be praying for himself it is more likely he was praying for the future King who would rule from Jerusalem during His Millennial reign. Yes, Solomon may have prayed this for himself as he asks God to give the king the ability to judge the people of God. That is certainly in line with what Solomon requested from God when asked what his desires were. But this Psalm also speaks of righteousness and that is truly the description of Christ's rule during the Millennium.