The son of Rohiṇī will also be celebrated as Saṅkarṣaṇa because of being sent from the womb of Devakī to the womb of Rohiṇī. He will be called Rāma because of His ability to please all the inhabitants of Gokula, and He will be known as Balabhadra because of His extensive physical strength.
Srimad Bhagavata Purana
श्रीमद्भागवतमहापुराणम्
मूल श्लोकः
गर्भसङ्कर्षणात्तं वै प्राहुः सङ्कर्षणं भुवि । रामेति लोकरमणाद्बलं बलवदुच्छ्रयात्
garbhasaṅkarṣaṇāttaṃ vai prāhuḥ saṅkarṣaṇaṃ bhuvi | rāmeti lokaramaṇādbalaṃ balavaducchrayāt
SB 10.2.13