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Finding the Third Proportional to 132.47 and 201.66

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Solution

The third proportional to 132.47 and 201.66 is: 306.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.47 : 201.66 = 201.66 : x
  2. Step 2: Convert to fraction form
    132.47/201.66 = 201.66/x
  3. Step 3: Cross multiply
    132.47x = 201.66 × 201.66
  4. Step 4: Simplify right side
    132.47x = 40,665.24
  5. Step 5: Solve for x
    x = 40,665.24/132.47
  6. Step 6: Final answer
    x = 306.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.