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Finding the Third Proportional to 177,472 and 381,696

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Solution

The third proportional to 177,472 and 381,696 is: 820,928.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,472 : 381,696 = 381,696 : x
  2. Step 2: Convert to fraction form
    177,472/381,696 = 381,696/x
  3. Step 3: Cross multiply
    177,472x = 381,696 × 381,696
  4. Step 4: Simplify right side
    177,472x = 145,691,836,416
  5. Step 5: Solve for x
    x = 145,691,836,416/177,472
  6. Step 6: Final answer
    x = 820,928.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.