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Finding the Third Proportional to 133,850 and 178,443

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Solution

The third proportional to 133,850 and 178,443 is: 237,892.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,850 : 178,443 = 178,443 : x
  2. Step 2: Convert to fraction form
    133,850/178,443 = 178,443/x
  3. Step 3: Cross multiply
    133,850x = 178,443 × 178,443
  4. Step 4: Simplify right side
    133,850x = 31,841,904,249
  5. Step 5: Solve for x
    x = 31,841,904,249/133,850
  6. Step 6: Final answer
    x = 237,892.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.