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Finding the Third Proportional to 408,672 and 545,424

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Solution

The third proportional to 408,672 and 545,424 is: 727,936.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,672 : 545,424 = 545,424 : x
  2. Step 2: Convert to fraction form
    408,672/545,424 = 545,424/x
  3. Step 3: Cross multiply
    408,672x = 545,424 × 545,424
  4. Step 4: Simplify right side
    408,672x = 297,487,339,776
  5. Step 5: Solve for x
    x = 297,487,339,776/408,672
  6. Step 6: Final answer
    x = 727,936.68

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.