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Finding the Third Proportional to 47.94 and 68.47

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Solution

The third proportional to 47.94 and 68.47 is: 97.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.94 : 68.47 = 68.47 : x
  2. Step 2: Convert to fraction form
    47.94/68.47 = 68.47/x
  3. Step 3: Cross multiply
    47.94x = 68.47 × 68.47
  4. Step 4: Simplify right side
    47.94x = 4,687.97
  5. Step 5: Solve for x
    x = 4,687.97/47.94
  6. Step 6: Final answer
    x = 97.79

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.