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Finding the Third Proportional to 99,005 and 131,281

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Solution

The third proportional to 99,005 and 131,281 is: 174,079.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,005 : 131,281 = 131,281 : x
  2. Step 2: Convert to fraction form
    99,005/131,281 = 131,281/x
  3. Step 3: Cross multiply
    99,005x = 131,281 × 131,281
  4. Step 4: Simplify right side
    99,005x = 17,234,700,961
  5. Step 5: Solve for x
    x = 17,234,700,961/99,005
  6. Step 6: Final answer
    x = 174,079.10

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.