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Finding the Third Proportional to 132.70 and 178.31

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Solution

The third proportional to 132.70 and 178.31 is: 239.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.70 : 178.31 = 178.31 : x
  2. Step 2: Convert to fraction form
    132.70/178.31 = 178.31/x
  3. Step 3: Cross multiply
    132.70x = 178.31 × 178.31
  4. Step 4: Simplify right side
    132.70x = 31,795.35
  5. Step 5: Solve for x
    x = 31,795.35/132.70
  6. Step 6: Final answer
    x = 239.60

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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.