What is the relationship between Poisson's ratio and Young's modulus in the Poisson's ratio formula?

In the Poisson's ratio formula, Poisson's ratio is directly related to Young's modulus. The formula is: Poisson's ratio (Lateral Strain / Longitudinal Strain) - (Transverse Stress / Longitudinal Stress) 1 / 2 (Young's Modulus / Shear Modulus). This shows that Poisson's ratio is inversely proportional to Young's modulus.