If an immiscible liquid is added to a liquid in which a solid is dissolved the solute becomes distributed between both liquids. We say that the solute partitions itself across the two immiscible liquids. The animation below shows how an equilibrium is established between the solute dissolved in one liquid and the solute dissolved in the other liquid.

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How would you describe the equilibrium that is established between the solute in one liquid and the solute in the other liquid?

It is a dynamic equilibrium because solute molecules continue to move between both liquids.

Is the concentration of the solute likely to be the same in both liquids?

No. The concentration of solute in each liquid will depend on the relative solubility of the solute in the liquids. This is most unlikely to be the same.

What can you say about the ratio of the concentration of the solute in one liquid to the concentration of the solid in the other liquid?

The ratio of the concentration of solute in one liquid to the concentration in the other liquid will be constant at constant temperature.