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Finding the Third Proportional to 66,285 and 99,701

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Solution

The third proportional to 66,285 and 99,701 is: 149,962.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,285 : 99,701 = 99,701 : x
  2. Step 2: Convert to fraction form
    66,285/99,701 = 99,701/x
  3. Step 3: Cross multiply
    66,285x = 99,701 × 99,701
  4. Step 4: Simplify right side
    66,285x = 9,940,289,401
  5. Step 5: Solve for x
    x = 9,940,289,401/66,285
  6. Step 6: Final answer
    x = 149,962.88

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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.