Sat-chit-ananda's structure, a single ultimate reality described through three terms, invites comparison with the Christian Trinity, another three-in-one formula, and the comparison is instructive for how sharply the two diverge beneath a superficially similar arithmetic.
The Trinity holds God is three distinct persons, Father, Son and Holy Spirit, each fully and equally God, really distinct in their relations of origin, the Son eternally begotten, the Spirit eternally proceeding, while remaining one in essence, a formula developed at the Councils of Nicaea and Constantinople to affirm real, personal distinction within a single divine nature. Sat-chit-ananda, on the Advaita reading, describes no internal distinction within Brahman at all: being, consciousness and bliss are not persons or relations but three names pointing at the same undifferentiated reality, adopted because Brahman's absolute simplicity rules out any attribute that could function as a real internal distinction.
The difference reflects two problems each formula solves. The Trinity addresses how the New Testament's language about Father, Son and Spirit as distinct agents can be reconciled with monotheism, and its answer preserves real, named distinction. Sat-chit-ananda addresses how to point toward an ultimate reality using words without implying it is composite, and its answer treats the three terms as equivalent rather than distinct, each fully naming the whole. Comparative theologians treat the numerical parallel as coincidental rather than evidence of shared logic.