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Finding the Third Proportional to 132.42 and 201.47

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Solution

The third proportional to 132.42 and 201.47 is: 306.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.42 : 201.47 = 201.47 : x
  2. Step 2: Convert to fraction form
    132.42/201.47 = 201.47/x
  3. Step 3: Cross multiply
    132.42x = 201.47 × 201.47
  4. Step 4: Simplify right side
    132.42x = 40,590.84
  5. Step 5: Solve for x
    x = 40,590.84/132.42
  6. Step 6: Final answer
    x = 306.54

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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.