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<p/> <p>For <inline-formula> <graphic file="1029-242X-2010-146945-i1.gif"/></inline-formula>, the power-type Heron mean <inline-formula> <graphic file="1029-242X-2010-146945-i2.gif"/></inline-formula> and the Seiffert mean <inline-formula> <graphic file="1029-242X-2010-146945-i3.gif"/></inline-formula> of two positive real numbers <inline-formula> <graphic file="1029-242X-2010-146945-i4.gif"/></inline-formula> and <inline-formula> <graphic file="1029-242X-2010-146945-i5.gif"/></inline-formula> are defined by <inline-formula> <graphic file="1029-242X-2010-146945-i6.gif"/></inline-formula>, <inline-formula> <graphic file="1029-242X-2010-146945-i7.gif"/></inline-formula>; <inline-formula> <graphic file="1029-242X-2010-146945-i8.gif"/></inline-formula>, <inline-formula> <graphic file="1029-242X-2010-146945-i9.gif"/></inline-formula> and <inline-formula> <graphic file="1029-242X-2010-146945-i10.gif"/></inline-formula>, <inline-formula> <graphic file="1029-242X-2010-146945-i11.gif"/></inline-formula>; <inline-formula> <graphic file="1029-242X-2010-146945-i12.gif"/></inline-formula>, <inline-formula> <graphic file="1029-242X-2010-146945-i13.gif"/></inline-formula>, respectively. In this paper, we find the greatest value <inline-formula> <graphic file="1029-242X-2010-146945-i14.gif"/></inline-formula> and the least value <inline-formula> <graphic file="1029-242X-2010-146945-i15.gif"/></inline-formula> such that the double inequality <inline-formula> <graphic file="1029-242X-2010-146945-i16.gif"/></inline-formula> holds for all <inline-formula> <graphic file="1029-242X-2010-146945-i17.gif"/></inline-formula> with <inline-formula> <graphic file="1029-242X-2010-146945-i18.gif"/></inline-formula>.</p>