  We analyze in detail recent experiments on ultracold dilute 87Rb-40K mixtures
in Hamburg and in Florence within a mean-field theory. To this end we determine
how the stationary bosonic and fermionic density profiles in this mixture
depend in the Thomas-Fermi limit on the respective particle numbers.
Furthermore, we investigate how the observed stability of the Bose-Fermi
mixture with respect to collapse is crucially related to the value of the
interspecies s-wave scattering length.
