The Monte Carlo method was used to determine the compression factors and radial distribution functions (rdf) of ternary hard-sphere mixtures with hard-sphere diameters σ A = 1, σ B = 0.6, σ C = 0.3 at several packing fractions (y = 0.35, 0.40 and 0.45) and mole fractions (x A = x B = x C = 13 or x A = 16, x B = 13, x C = 12). The obtained values of the compression factor were employed to test the equations of state of hard-sphere mixtures. Fair agreement was found in all the cases. Also the obtained contact values of rdf's, g i j (σ i j ), compare well with the theoretical values. Simulation results for the dependence of the rdf's on distance were compared with values determined from a simple relation devised recently for calculation of g i j (<) in ternary and multi-component systems. In all the cases, a satisfactory agreement was found for distances close to the contact values. Larger deviations were found in the range of distances close to the first minimum of g i j . The magnitude of deviations increases with the increasing differences between σ i j and σ A . In the case of considerably different values of σ i j and σ A , the proposed theoretical method overestimates g i j for < ≥ < m i n .