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Finding the Third Proportional to 99,401 and 207,186

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Solution

The third proportional to 99,401 and 207,186 is: 431,847.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,401 : 207,186 = 207,186 : x
  2. Step 2: Convert to fraction form
    99,401/207,186 = 207,186/x
  3. Step 3: Cross multiply
    99,401x = 207,186 × 207,186
  4. Step 4: Simplify right side
    99,401x = 42,926,038,596
  5. Step 5: Solve for x
    x = 42,926,038,596/99,401
  6. Step 6: Final answer
    x = 431,847.15

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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.