Home / 37,536-82,816

Finding the Third Proportional to 37,536 and 82,816

Calculator

Solution

The third proportional to 37,536 and 82,816 is: 182,717.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,536 : 82,816 = 82,816 : x
  2. Step 2: Convert to fraction form
    37,536/82,816 = 82,816/x
  3. Step 3: Cross multiply
    37,536x = 82,816 × 82,816
  4. Step 4: Simplify right side
    37,536x = 6,858,489,856
  5. Step 5: Solve for x
    x = 6,858,489,856/37,536
  6. Step 6: Final answer
    x = 182,717.65

Related Problems

Find third proportional to 18,768 and 41,408
Half scale
Find third proportional to 75,072 and 165,632
Double scale
Find third proportional to 37,538 and 82,820
Similar ratio
Find third proportional to 56,304 and 124,224
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.