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Finding the Third Proportional to 178,612 and 381,778

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Solution

The third proportional to 178,612 and 381,778 is: 816,039.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,612 : 381,778 = 381,778 : x
  2. Step 2: Convert to fraction form
    178,612/381,778 = 381,778/x
  3. Step 3: Cross multiply
    178,612x = 381,778 × 381,778
  4. Step 4: Simplify right side
    178,612x = 145,754,441,284
  5. Step 5: Solve for x
    x = 145,754,441,284/178,612
  6. Step 6: Final answer
    x = 816,039.47

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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.