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Finding the Third Proportional to 178,920 and 379,170

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Solution

The third proportional to 178,920 and 379,170 is: 803,542.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,920 : 379,170 = 379,170 : x
  2. Step 2: Convert to fraction form
    178,920/379,170 = 379,170/x
  3. Step 3: Cross multiply
    178,920x = 379,170 × 379,170
  4. Step 4: Simplify right side
    178,920x = 143,769,888,900
  5. Step 5: Solve for x
    x = 143,769,888,900/178,920
  6. Step 6: Final answer
    x = 803,542.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.