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Finding the Third Proportional to 61.55 and 132.66

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Solution

The third proportional to 61.55 and 132.66 is: 285.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.55 : 132.66 = 132.66 : x
  2. Step 2: Convert to fraction form
    61.55/132.66 = 132.66/x
  3. Step 3: Cross multiply
    61.55x = 132.66 × 132.66
  4. Step 4: Simplify right side
    61.55x = 17,597.68
  5. Step 5: Solve for x
    x = 17,597.68/61.55
  6. Step 6: Final answer
    x = 285.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.