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Finding the Third Proportional to 108.28 and 238.17

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Solution

The third proportional to 108.28 and 238.17 is: 523.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.28 : 238.17 = 238.17 : x
  2. Step 2: Convert to fraction form
    108.28/238.17 = 238.17/x
  3. Step 3: Cross multiply
    108.28x = 238.17 × 238.17
  4. Step 4: Simplify right side
    108.28x = 56,723.05
  5. Step 5: Solve for x
    x = 56,723.05/108.28
  6. Step 6: Final answer
    x = 523.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.