The Sombor index is a much investigated vertex-degree-based graph invariant defined as \( SO = \sum_{uv} \sqrt{d(u)^2+d(v)^2} \), where \( d(u) \) denotes the degree of the vertex \( u \) of the underlying graph. Recently, in \cite{1}, a new "degree-ratio" variant of the Sombor index is conceived, defined as \( DRSO = \sum_{uv} \sqrt{[d(u)/d(v)]^2+[d(v)/d(u)]^2} \). In this paper, we establish the structural features determining the details of the relations between \( DRSO \) and \( SO \).