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Finding the Third Proportional to 99,399 and 207,182

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Solution

The third proportional to 99,399 and 207,182 is: 431,839.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,399 : 207,182 = 207,182 : x
  2. Step 2: Convert to fraction form
    99,399/207,182 = 207,182/x
  3. Step 3: Cross multiply
    99,399x = 207,182 × 207,182
  4. Step 4: Simplify right side
    99,399x = 42,924,381,124
  5. Step 5: Solve for x
    x = 42,924,381,124/99,399
  6. Step 6: Final answer
    x = 431,839.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.