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Finding the Third Proportional to 178,662 and 378,060

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Solution

The third proportional to 178,662 and 378,060 is: 799,998.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,662 : 378,060 = 378,060 : x
  2. Step 2: Convert to fraction form
    178,662/378,060 = 378,060/x
  3. Step 3: Cross multiply
    178,662x = 378,060 × 378,060
  4. Step 4: Simplify right side
    178,662x = 142,929,363,600
  5. Step 5: Solve for x
    x = 142,929,363,600/178,662
  6. Step 6: Final answer
    x = 799,998.68

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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.