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Finding the Third Proportional to 39,740 and 84,217

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Solution

The third proportional to 39,740 and 84,217 is: 178,472.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,740 : 84,217 = 84,217 : x
  2. Step 2: Convert to fraction form
    39,740/84,217 = 84,217/x
  3. Step 3: Cross multiply
    39,740x = 84,217 × 84,217
  4. Step 4: Simplify right side
    39,740x = 7,092,503,089
  5. Step 5: Solve for x
    x = 7,092,503,089/39,740
  6. Step 6: Final answer
    x = 178,472.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.