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Finding the Third Proportional to 71,776 and 151,398

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Solution

The third proportional to 71,776 and 151,398 is: 319,345.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,776 : 151,398 = 151,398 : x
  2. Step 2: Convert to fraction form
    71,776/151,398 = 151,398/x
  3. Step 3: Cross multiply
    71,776x = 151,398 × 151,398
  4. Step 4: Simplify right side
    71,776x = 22,921,354,404
  5. Step 5: Solve for x
    x = 22,921,354,404/71,776
  6. Step 6: Final answer
    x = 319,345.66

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.