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Finding the Third Proportional to 178.31 and 239.34

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Solution

The third proportional to 178.31 and 239.34 is: 321.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.31 : 239.34 = 239.34 : x
  2. Step 2: Convert to fraction form
    178.31/239.34 = 239.34/x
  3. Step 3: Cross multiply
    178.31x = 239.34 × 239.34
  4. Step 4: Simplify right side
    178.31x = 57,285.43
  5. Step 5: Solve for x
    x = 57,285.43/178.31
  6. Step 6: Final answer
    x = 321.26

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.