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Finding the Third Proportional to 178,902 and 379,098

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Solution

The third proportional to 178,902 and 379,098 is: 803,318.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,902 : 379,098 = 379,098 : x
  2. Step 2: Convert to fraction form
    178,902/379,098 = 379,098/x
  3. Step 3: Cross multiply
    178,902x = 379,098 × 379,098
  4. Step 4: Simplify right side
    178,902x = 143,715,293,604
  5. Step 5: Solve for x
    x = 143,715,293,604/178,902
  6. Step 6: Final answer
    x = 803,318.54

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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.