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Finding the Third Proportional to 108.28 and 161.16

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Solution

The third proportional to 108.28 and 161.16 is: 239.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.28 : 161.16 = 161.16 : x
  2. Step 2: Convert to fraction form
    108.28/161.16 = 161.16/x
  3. Step 3: Cross multiply
    108.28x = 161.16 × 161.16
  4. Step 4: Simplify right side
    108.28x = 25,971.34
  5. Step 5: Solve for x
    x = 25,971.34/108.28
  6. Step 6: Final answer
    x = 239.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.