Home / 37,122-82,527

Finding the Third Proportional to 37,122 and 82,527

Calculator

Solution

The third proportional to 37,122 and 82,527 is: 183,468.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,122 : 82,527 = 82,527 : x
  2. Step 2: Convert to fraction form
    37,122/82,527 = 82,527/x
  3. Step 3: Cross multiply
    37,122x = 82,527 × 82,527
  4. Step 4: Simplify right side
    37,122x = 6,810,705,729
  5. Step 5: Solve for x
    x = 6,810,705,729/37,122
  6. Step 6: Final answer
    x = 183,468.18

Related Problems

Find third proportional to 18,561 and 41,263.50
Half scale
Find third proportional to 74,244 and 165,054
Double scale
Find third proportional to 37,124 and 82,531
Similar ratio
Find third proportional to 55,683 and 123,790.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.