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Finding the Third Proportional to 29.30 and 63.61

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Solution

The third proportional to 29.30 and 63.61 is: 138.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.30 : 63.61 = 63.61 : x
  2. Step 2: Convert to fraction form
    29.30/63.61 = 63.61/x
  3. Step 3: Cross multiply
    29.30x = 63.61 × 63.61
  4. Step 4: Simplify right side
    29.30x = 4,046.15
  5. Step 5: Solve for x
    x = 4,046.15/29.30
  6. Step 6: Final answer
    x = 138.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.