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Finding the Third Proportional to 29.18 and 61.73

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Solution

The third proportional to 29.18 and 61.73 is: 130.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.18 : 61.73 = 61.73 : x
  2. Step 2: Convert to fraction form
    29.18/61.73 = 61.73/x
  3. Step 3: Cross multiply
    29.18x = 61.73 × 61.73
  4. Step 4: Simplify right side
    29.18x = 3,811.13
  5. Step 5: Solve for x
    x = 3,811.13/29.18
  6. Step 6: Final answer
    x = 130.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.