Matching three colors in a picture can be achieved through the use of color theory principles. One effective method is the 60-30-10 rule, which suggests using one color for 60% of the space, another for 30%, and the third as an accent at 10%. To ensure harmony, choose colors that are either complementary, analogous, or monochromatic. Complementary colors are those opposite each other on the color wheel, like red and green. Analogous colors are those next to each other on the color wheel, like blue, purple, and violet. Monochromatic schemes use various shades of the same color. Experimenting with different color combinations and considering the context of the image are also important.