  Flavor transitions via the charged current interactions are parametrized by a
three dimensional and unitary transformation. This so called mixing matrix
requires of four mixing parameters. Here we show that under the
phenomenological observation of hierarchical fermion masses, $m_3 \gg m_2 \gg
m_1$, a mixing parametrization can be built with its mixing parameters being
the corresponding four independent mass ratios of each fermion sector, i.e.,
$m_u/m_c$, $m_c/m_t$, $m_d/m_s$, and $m_s/m_b$ and $m_e/m_\mu$, $m_\mu/m_\tau$,
$m_{\nu 1}/m_{\nu 2}$, and $m_{\nu
  2}/m_{\nu 3}$, for the quark and lepton sector, respectively.
