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Finding the Third Proportional to 61.22 and 134.55

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Solution

The third proportional to 61.22 and 134.55 is: 295.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.22 : 134.55 = 134.55 : x
  2. Step 2: Convert to fraction form
    61.22/134.55 = 134.55/x
  3. Step 3: Cross multiply
    61.22x = 134.55 × 134.55
  4. Step 4: Simplify right side
    61.22x = 18,104.18
  5. Step 5: Solve for x
    x = 18,104.18/61.22
  6. Step 6: Final answer
    x = 295.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.