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Finding the Third Proportional to 64,377 and 99,481

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Solution

The third proportional to 64,377 and 99,481 is: 153,726.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,377 : 99,481 = 99,481 : x
  2. Step 2: Convert to fraction form
    64,377/99,481 = 99,481/x
  3. Step 3: Cross multiply
    64,377x = 99,481 × 99,481
  4. Step 4: Simplify right side
    64,377x = 9,896,469,361
  5. Step 5: Solve for x
    x = 9,896,469,361/64,377
  6. Step 6: Final answer
    x = 153,726.79

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.