We present a set of formulas to extract the ratio F-L(x, Q(2))/F-2 (x, Q(2)) and R(x, Q(2)) from the proton structure function parameterized in the next-to-next-to-leading order of the perturbation theory at low x values. The behavior of these ratios is considered with respect to the power-law behavior of the proton structure function. The results are compared with experimental data and the color dipole model bounds. These ratios are in good agreement with the Hadron Electron Ring Accelerator (HERA) data throughout the fixed value of the invariant mass. The behavior of these ratios controlled by the nonlinear corrections at low values of Q(2). These results and comparisons with HERA data demonstrate that the suggested method for the ratio of structure functions can be applied in analyses of the Large Hadron Collider and Future Circular Collider projects.
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