Using the virial theorem discovered recently by Doria, Gubernatis, and Rainer (Phys. Rev. B 39, 9573 (1989)), we rederive Abrikosov's solution of the Ginzburg-Landau equations near {ital H}{sub {ital c}2} in a very simple way. We stress the importance of the virial theorem for an intuitive understanding of the vortex state and report a generalized version of it, which is valid within the framework of the quasiclassical theory of superconductivity.