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Finding the Third Proportional to 99,107 and 206,421

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Solution

The third proportional to 99,107 and 206,421 is: 429,935.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,107 : 206,421 = 206,421 : x
  2. Step 2: Convert to fraction form
    99,107/206,421 = 206,421/x
  3. Step 3: Cross multiply
    99,107x = 206,421 × 206,421
  4. Step 4: Simplify right side
    99,107x = 42,609,629,241
  5. Step 5: Solve for x
    x = 42,609,629,241/99,107
  6. Step 6: Final answer
    x = 429,935.62

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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.