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Finding the Third Proportional to 37,630 and 81,743

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Solution

The third proportional to 37,630 and 81,743 is: 177,568.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,630 : 81,743 = 81,743 : x
  2. Step 2: Convert to fraction form
    37,630/81,743 = 81,743/x
  3. Step 3: Cross multiply
    37,630x = 81,743 × 81,743
  4. Step 4: Simplify right side
    37,630x = 6,681,918,049
  5. Step 5: Solve for x
    x = 6,681,918,049/37,630
  6. Step 6: Final answer
    x = 177,568.91

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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.