A speculative relation between the cosmological constant and the Planck mass

We propose the relation $M_{\mathrm{\Lambda }}\sim (M_{Pl}{M}_U{)}^{1\mathrm{/}2}$ where $M_{\mathrm{\Lambda }}$, $M_{Pl},$ and $M_U$ denote the mass scale associated with the cosmological constant, the gravitational interaction, and the size of the universe respectively.