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Finding the Third Proportional to 99,109 and 206,425

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Solution

The third proportional to 99,109 and 206,425 is: 429,943.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,109 : 206,425 = 206,425 : x
  2. Step 2: Convert to fraction form
    99,109/206,425 = 206,425/x
  3. Step 3: Cross multiply
    99,109x = 206,425 × 206,425
  4. Step 4: Simplify right side
    99,109x = 42,611,280,625
  5. Step 5: Solve for x
    x = 42,611,280,625/99,109
  6. Step 6: Final answer
    x = 429,943.60

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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.