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Finding the Third Proportional to 132.47 and 176.98

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Solution

The third proportional to 132.47 and 176.98 is: 236.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.47 : 176.98 = 176.98 : x
  2. Step 2: Convert to fraction form
    132.47/176.98 = 176.98/x
  3. Step 3: Cross multiply
    132.47x = 176.98 × 176.98
  4. Step 4: Simplify right side
    132.47x = 31,320.70
  5. Step 5: Solve for x
    x = 31,320.70/132.47
  6. Step 6: Final answer
    x = 236.44

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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.