Home / 37,900-82,351

Finding the Third Proportional to 37,900 and 82,351

Calculator

Solution

The third proportional to 37,900 and 82,351 is: 178,936.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,900 : 82,351 = 82,351 : x
  2. Step 2: Convert to fraction form
    37,900/82,351 = 82,351/x
  3. Step 3: Cross multiply
    37,900x = 82,351 × 82,351
  4. Step 4: Simplify right side
    37,900x = 6,781,687,201
  5. Step 5: Solve for x
    x = 6,781,687,201/37,900
  6. Step 6: Final answer
    x = 178,936.34

Related Problems

Find third proportional to 18,950 and 41,175.50
Half scale
Find third proportional to 75,800 and 164,702
Double scale
Find third proportional to 37,902 and 82,355
Similar ratio
Find third proportional to 56,850 and 123,526.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.