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Finding the Third Proportional to 47.11 and 61.17

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Solution

The third proportional to 47.11 and 61.17 is: 79.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.11 : 61.17 = 61.17 : x
  2. Step 2: Convert to fraction form
    47.11/61.17 = 61.17/x
  3. Step 3: Cross multiply
    47.11x = 61.17 × 61.17
  4. Step 4: Simplify right side
    47.11x = 3,742.00
  5. Step 5: Solve for x
    x = 3,742.00/47.11
  6. Step 6: Final answer
    x = 79.43

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.