Grande has referred to "Right There" as "sort of a sequel" to her first hit single "The Way" due to the songs' similarities in melody and composition. The singer spoke of the mutual interest she and rapper Big Sean felt in wanting to collaborate but mentioned that it took some time for them to find the right song. She said, "We were talking about a few other songs together but it just never worked out and it never was the right moment and then finally 'Right There' came along. And we were like 'Oh this is it'."
While the song was originally released as a promotional track available for immediate download with pre-orders of Yours Truly on iTunes, Grande stated in an interview that it evolved into a single on its own: "'Right There' is kind of about to be the next single. I think we're going to do a video for it soon. It's just because of what's naturally happened with 'Right There'. Radio's just sort of started picking it up and fans seem to really be responding to that one."
The music video for the song was released on October 30, 2013. It takes place at a costume party in a mansion. Grande, dressed as Juliet, catches the eye of another party-goer dressed as Romeo. The two navigate the party trying to find each other and finally meet and kiss at the end of the video. The role of Grande's love interest is played by Patrick Schwarzenegger, the son of legendary action film actor Arnold Schwarzenegger.
Grande made some live performances to promote the song. She made some acustic performances for POWER 106, for Capital XTRA, SBTV: Music, and at the Amp Radio Sound Space on September 30, 2013. Grande also performed the single version at the Jimmy Kimmel Live!, at the 94.9's WiLD Jam at The SAP Center in San Jose, California on December 15, 2013, and for the last time in 2013 at the 2014 Dick Clark's New Years Rockin' Eve in Times Square. In 2014 Grande performed the acoustic version at the MTV's Artist To Watch, where she was joined by Tori Kelly for the performance. The single version was performed at the 2014 Wango Tango, at the White House Easter Egg Roll 2014, where she was joined by Big Sean for the Performance, and during some showcases she played in Tokyo, Japan, to promote the release of her debut album "Yours Truly" in the country. Grande performed the song again at the 2014 iHeartRadio Ultimate Pool Party.