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Finding the Third Proportional to 47.10 and 108.23

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Solution

The third proportional to 47.10 and 108.23 is: 248.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.10 : 108.23 = 108.23 : x
  2. Step 2: Convert to fraction form
    47.10/108.23 = 108.23/x
  3. Step 3: Cross multiply
    47.10x = 108.23 × 108.23
  4. Step 4: Simplify right side
    47.10x = 11,712.81
  5. Step 5: Solve for x
    x = 11,712.81/47.10
  6. Step 6: Final answer
    x = 248.69

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.