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Finding the Third Proportional to 47.22 and 98.78

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Solution

The third proportional to 47.22 and 98.78 is: 206.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.22 : 98.78 = 98.78 : x
  2. Step 2: Convert to fraction form
    47.22/98.78 = 98.78/x
  3. Step 3: Cross multiply
    47.22x = 98.78 × 98.78
  4. Step 4: Simplify right side
    47.22x = 9,757.11
  5. Step 5: Solve for x
    x = 9,757.11/47.22
  6. Step 6: Final answer
    x = 206.61

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.