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Finding the Third Proportional to 269,524 and 421,542

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Solution

The third proportional to 269,524 and 421,542 is: 659,301.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,524 : 421,542 = 421,542 : x
  2. Step 2: Convert to fraction form
    269,524/421,542 = 421,542/x
  3. Step 3: Cross multiply
    269,524x = 421,542 × 421,542
  4. Step 4: Simplify right side
    269,524x = 177,697,657,764
  5. Step 5: Solve for x
    x = 177,697,657,764/269,524
  6. Step 6: Final answer
    x = 659,301.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.