Radioactive equilibrium: Assume that the radioactive element A disintegrates to form other radioactive element B which in turn disintegrates to still the other element C.
B is said to be in the state of radioactive equilibrium with A if its rate of the formation from A is equal to its rate of the decay into C.
It is significant to note that the term equilibrium is taken in use for the reversible reactions but the radioactive reactions are irreversible, thus it is preferred to say that B is in the steady state rather than in the equilibrium state.
At a steady state, 
Therefore at the steady state (at the radioactive equilibrium), the amounts (number of the atoms) of the different radioelements present in reaction series are inversely proportional to their particular radioactive constants or directly proportional to their half-life and also the average life time periods.
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