  In this paper, we propose a self-consistent test for a Hubble constant
estimate using galaxy cluster and type Ia supernovae (SNe Ia) observations. The
approach consists, in a first step, of obtaining the observational value of the
galaxy cluster scaling-relation $Y_{SZE}D_{A}^{2}/C_{XSZ}Y_X = C $ by combining
the X-Ray and SZ observations of galaxy clusters at low redshifts ($z < 0.1$)
from the first {\it Planck mission} all-sky data set ($0.044 \leq z \leq
0.444$), along with SNe Ia observations and making use of the cosmic distance
duality relation validity. Then, by considering a flat $\Lambda$CDM model for
$D_A$, the constant $C$ from the first step and the Planck prior on $\Omega_M$
parameter, we obtain $H_0$ by using the galaxy cluster data with $z>0.1$. As a
result, we obtain $H_0 = 73.014^{+7.435}_{-6.688}$ km/s/Mpc, which represents
$9.7\%$ accuracy measurement on the Hubble constant.. We also compare our
method with that one where the $C$ parameter is obtained from hydrodynamical
simulations of massive galaxy clusters.
