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Finding the Third Proportional to 421,446 and 629,676

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Solution

The third proportional to 421,446 and 629,676 is: 940,789.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,446 : 629,676 = 629,676 : x
  2. Step 2: Convert to fraction form
    421,446/629,676 = 629,676/x
  3. Step 3: Cross multiply
    421,446x = 629,676 × 629,676
  4. Step 4: Simplify right side
    421,446x = 396,491,864,976
  5. Step 5: Solve for x
    x = 396,491,864,976/421,446
  6. Step 6: Final answer
    x = 940,789.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.