With over 12,000 followers, the 20-year-old is building his own reputation. Sharing his own fitness videos, it seems Baena is looking to follow the same path as his father.
In a post last week, the youngster suggested this is, "just the beginning." Is he the next Terminator or next Mr. Olympia?
Arnold Schwarzenegger first broke onto the scene as an 18-year-old before winning the 1966 Mr Europe competition a year later.
Thirty-one years later, despite being married to his wife of twenty-five years, Schwarzenegger had an affair with Mildred Patricia Baena, the family's housekeeper.
Nine months later, Joseph Baena was born.
If his latest posts are anything to go by, it might not be long until we see Baena on the world stage.