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Finding the Third Proportional to 66,449 and 99,487

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Solution

The third proportional to 66,449 and 99,487 is: 148,951.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,449 : 99,487 = 99,487 : x
  2. Step 2: Convert to fraction form
    66,449/99,487 = 99,487/x
  3. Step 3: Cross multiply
    66,449x = 99,487 × 99,487
  4. Step 4: Simplify right side
    66,449x = 9,897,663,169
  5. Step 5: Solve for x
    x = 9,897,663,169/66,449
  6. Step 6: Final answer
    x = 148,951.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.