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Finding the Third Proportional to 177,664 and 381,680

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Solution

The third proportional to 177,664 and 381,680 is: 819,972.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,664 : 381,680 = 381,680 : x
  2. Step 2: Convert to fraction form
    177,664/381,680 = 381,680/x
  3. Step 3: Cross multiply
    177,664x = 381,680 × 381,680
  4. Step 4: Simplify right side
    177,664x = 145,679,622,400
  5. Step 5: Solve for x
    x = 145,679,622,400/177,664
  6. Step 6: Final answer
    x = 819,972.66

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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.