1. A color processing apparatus comprising: an obtaining unit that obtains an input color signal from an input device and that generates a first color signal based on the input color signal; a converting unit that converts the first color signal generated by the obtaining unit into a second color signal based on a viewing condition of the input device; and a generating unit that receives the first color signal and the second color signal and that, based upon a determination of relative appropriateness of the first color signal and the second color signal, generates a third color signal that is either the first color signal, the second color signal, or a mixture of the first and second color signals, the third color signal being an input signal of a color gamut mapping process of performing mapping to a color gamut of an output device, the generating unit generating the third color signal so that the third color signal becomes more similar to the second color signal as a portion outside the color gamut of the output device in a color gamut of the input device or a color reproduction range in the input color signal become smaller, and the obtaining by the obtaining unit, the converting by the converting unit, and the generating by the generating unit comprising a preprocessing of the color gamut mapping process, wherein the generating unit generates the third color signal based upon a result of a comparison between the similarity of a color of the first color signal and a color displayed by the input device and the similarity of a color of the second color signal and the color displayed by the input device.