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Finding the Third Proportional to 47.20 and 66.82

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Solution

The third proportional to 47.20 and 66.82 is: 94.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.20 : 66.82 = 66.82 : x
  2. Step 2: Convert to fraction form
    47.20/66.82 = 66.82/x
  3. Step 3: Cross multiply
    47.20x = 66.82 × 66.82
  4. Step 4: Simplify right side
    47.20x = 4,464.95
  5. Step 5: Solve for x
    x = 4,464.95/47.20
  6. Step 6: Final answer
    x = 94.59

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.