<p>This work deals with the problem of interpolation of bilinear operators. The key idea in the study of this problem is based on the use of the properties of ideal Banach operators for continuous inclusion maps between Banach lattices of sequences generating interpolation methods, and on the relationships between certain abstract interpolation methods proved in the paper. These connections are shown to be of particular interest for the abstract interpolation method of means. Applications for interpolation of bilinear operators on the scales of the real space of methods generated by quasi-power parameters are presented.</p>