solution for the dilemma

The International Color Consortium (ICC) solution for the dilemma is the introduction of standardized color spaces. These are are mathematical coordinate systems (three-dimensional representation) for assigning numerical values to colors. There are many ways to define such spaces, each with its own benefits and problems. (e.g. Adobe RGB (1968), sRGB, Pro
Photo RGB). Hence, a color space is a color gamut, which is the limit for
a set of colors. Adobe RGB, sRGB, and Pro Photo RGB are well-defined color spaces, which might not match any device in the world. Using the color space Adobe RGB (this is the one we use) the solution is the following. The image
internally stores all RGB values in relation to the internal (abstract) color space (here Adobe RGB). A RGB value in the context of a color
profile/space actually defines an absolute color. Photoshop's ICC engine now translates all these color values from the internal space to the monitor space (using a monitor profile). The same happens with the printer. Note: A RGB value in the context of a color space does define an absolute color Repeating this process when receiving a sent image solves the problem of different monitors not showing the same color.

COLOR WORKING SPACES

Photoshop stores the information about the profile within the image (TIFF, JPEG). Avoid applications that do not use or create these embedded profiles and also do not support the use of monitor profiles.
The standardized color spaces range from narrow to broad. If your image is used with a narrow range then some colors get lost in the transformation. Broadening the range to "invent" the missing colors is not possible. If the range is very wide, you deal with colors that probably none of your target devices will be capable of rendering. The following list shows some of the most important color spaces:
• sRGB: This space is still narrow but is supported by some printers. It might be a good idea to use sRGB for photos on the WEB.
• Adobe RGB (1998): This is a very popular space among Photoshop
users. It covers most printable colors. This is what we use.
• Pro Photo RGB: Color space supported by Kodak (very wide
gamut).
• Apple RGB: Not as wide as Adobe RGB. Properly displayed color spaces use 3D charts. The industry also uses some form of 2D charts to display color spaces.