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Finding the Third Proportional to 133,750 and 178,467

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Solution

The third proportional to 133,750 and 178,467 is: 238,134.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,750 : 178,467 = 178,467 : x
  2. Step 2: Convert to fraction form
    133,750/178,467 = 178,467/x
  3. Step 3: Cross multiply
    133,750x = 178,467 × 178,467
  4. Step 4: Simplify right side
    133,750x = 31,850,470,089
  5. Step 5: Solve for x
    x = 31,850,470,089/133,750
  6. Step 6: Final answer
    x = 238,134.36

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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.