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Finding the Third Proportional to 206,446 and 453,489

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Solution

The third proportional to 206,446 and 453,489 is: 996,155.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,446 : 453,489 = 453,489 : x
  2. Step 2: Convert to fraction form
    206,446/453,489 = 453,489/x
  3. Step 3: Cross multiply
    206,446x = 453,489 × 453,489
  4. Step 4: Simplify right side
    206,446x = 205,652,273,121
  5. Step 5: Solve for x
    x = 205,652,273,121/206,446
  6. Step 6: Final answer
    x = 996,155.28

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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.