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Finding the Third Proportional to 206,950 and 454,543

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Solution

The third proportional to 206,950 and 454,543 is: 998,353.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,950 : 454,543 = 454,543 : x
  2. Step 2: Convert to fraction form
    206,950/454,543 = 454,543/x
  3. Step 3: Cross multiply
    206,950x = 454,543 × 454,543
  4. Step 4: Simplify right side
    206,950x = 206,609,338,849
  5. Step 5: Solve for x
    x = 206,609,338,849/206,950
  6. Step 6: Final answer
    x = 998,353.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.