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Finding the Third Proportional to 178,109 and 383,866

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Solution

The third proportional to 178,109 and 383,866 is: 827,319.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,109 : 383,866 = 383,866 : x
  2. Step 2: Convert to fraction form
    178,109/383,866 = 383,866/x
  3. Step 3: Cross multiply
    178,109x = 383,866 × 383,866
  4. Step 4: Simplify right side
    178,109x = 147,353,105,956
  5. Step 5: Solve for x
    x = 147,353,105,956/178,109
  6. Step 6: Final answer
    x = 827,319.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.