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Finding the Third Proportional to 61.92 and 135.05

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Solution

The third proportional to 61.92 and 135.05 is: 294.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.92 : 135.05 = 135.05 : x
  2. Step 2: Convert to fraction form
    61.92/135.05 = 135.05/x
  3. Step 3: Cross multiply
    61.92x = 135.05 × 135.05
  4. Step 4: Simplify right side
    61.92x = 18,237.66
  5. Step 5: Solve for x
    x = 18,237.66/61.92
  6. Step 6: Final answer
    x = 294.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.