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Finding the Third Proportional to 178,372.50 and 381,651

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Solution

The third proportional to 178,372.50 and 381,651 is: 816,591.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,372.50 : 381,651 = 381,651 : x
  2. Step 2: Convert to fraction form
    178,372.50/381,651 = 381,651/x
  3. Step 3: Cross multiply
    178,372.50x = 381,651 × 381,651
  4. Step 4: Simplify right side
    178,372.50x = 145,657,485,801
  5. Step 5: Solve for x
    x = 145,657,485,801/178,372.50
  6. Step 6: Final answer
    x = 816,591.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.