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Finding the Third Proportional to 206,478 and 437,766

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Solution

The third proportional to 206,478 and 437,766 is: 928,133.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,478 : 437,766 = 437,766 : x
  2. Step 2: Convert to fraction form
    206,478/437,766 = 437,766/x
  3. Step 3: Cross multiply
    206,478x = 437,766 × 437,766
  4. Step 4: Simplify right side
    206,478x = 191,639,070,756
  5. Step 5: Solve for x
    x = 191,639,070,756/206,478
  6. Step 6: Final answer
    x = 928,133.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.