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Finding the Third Proportional to 61.44 and 134.31

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Solution

The third proportional to 61.44 and 134.31 is: 293.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.44 : 134.31 = 134.31 : x
  2. Step 2: Convert to fraction form
    61.44/134.31 = 134.31/x
  3. Step 3: Cross multiply
    61.44x = 134.31 × 134.31
  4. Step 4: Simplify right side
    61.44x = 18,039.85
  5. Step 5: Solve for x
    x = 18,039.85/61.44
  6. Step 6: Final answer
    x = 293.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.