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Finding the Third Proportional to 291,976 and 641,424

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Solution

The third proportional to 291,976 and 641,424 is: 1,409,104.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,976 : 641,424 = 641,424 : x
  2. Step 2: Convert to fraction form
    291,976/641,424 = 641,424/x
  3. Step 3: Cross multiply
    291,976x = 641,424 × 641,424
  4. Step 4: Simplify right side
    291,976x = 411,424,747,776
  5. Step 5: Solve for x
    x = 411,424,747,776/291,976
  6. Step 6: Final answer
    x = 1,409,104.68

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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.