Geometric mean

Calculate the geometric mean of numbers a=15.2 and b=25.6. Determine the mean by construction where a and b are the length of the lines.

Correct answer:

m =  19.7261

Step-by-step explanation:

$$\begin{gathered} a=15.2 \\ b=25.6 \\ m=\sqrt{a\cdot b}=\sqrt{15.2\cdot 25.6}=19.7261 \end{gathered}$$

Try another example

Related math problems and questions:

• Area of RT
  Calculate the right triangle area that hypotenuse has length 14, and one hypotenuse segment has length 5.
• Annual growth
  The population has grown from 25,000 to 33,600 in 10 years. Calculate what was the average annual population growth in%?
• Geometric progression
  Fill 4 numbers between 4 and -12500 to form geometric progression.
• Area of RT
  The right triangle has orthogonal projections of legs to the hypotenuse lengths 15 cm and 9 cm. Determine the area of ​​this triangle.
• Gp - 80
  One of the first four members of a geometric progression is 80. Find its if we know that the fourth member is nine times greater than the second.
• Inflation
  Once upon a time, tsar owned a money printer and printed and printed. The result of printing money prices went up,in the first year 3.9 %, in the second 6%, in the third 4.7% and in the fourth 5.5%. Then tsar was failed in election. Calculate the average
• Three members GP
  The sum of three numbers in GP (geometric progression) is 21 and the sum of their squares is 189. Find the numbers.
• Six speeds
  A drilling machine is to have 6 speeds ranging from 50 to 750 revolutions per minute. If the speed forms a geometric progression, determine their values.
• Q of GP
  Calculate quotient of geometric progression if a1=5 a a1+a2=12.
• Quotient
  Determine the quotient and the second member of the geometric progression where a3=10, a1+a2=-1,6 a1-a2=2,4.
• Geometric sequence
  In the geometric sequence is a₄ = 20 a₉ = -160. Calculate the first member a₁ and quotient q.
• Geometric progression 4
  8,4√2,4,2√2
• Geometric sequence 3
  In geometric sequence is a₈ = 312500; a₁₁= 39062500; s_n=1953124. Calculate the first item a₁, quotient q, and n - number of members by their sum s_n.
• Square 2
  Points D[10,-8] and B[4,5] are opposed vertices of the square ABCD. Calculate area of the square ABCD.
• Transforming cuboid
  Cuboid with dimensions 6 cm, 10, and 11 cm is converted into a cube with the same volume. What is its edge length?
• Insert
  Insert five numbers between 8 and 27 such numbers that, with two given ones, they form the first seven members of the geometric sequence.
• Root
  Use law of square roots roots: ?