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Finding the Third Proportional to 47.39 and 105.54

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Solution

The third proportional to 47.39 and 105.54 is: 235.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.39 : 105.54 = 105.54 : x
  2. Step 2: Convert to fraction form
    47.39/105.54 = 105.54/x
  3. Step 3: Cross multiply
    47.39x = 105.54 × 105.54
  4. Step 4: Simplify right side
    47.39x = 11,138.49
  5. Step 5: Solve for x
    x = 11,138.49/47.39
  6. Step 6: Final answer
    x = 235.04

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.