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Finding the Third Proportional to 108.21 and 163.15

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Solution

The third proportional to 108.21 and 163.15 is: 245.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.21 : 163.15 = 163.15 : x
  2. Step 2: Convert to fraction form
    108.21/163.15 = 163.15/x
  3. Step 3: Cross multiply
    108.21x = 163.15 × 163.15
  4. Step 4: Simplify right side
    108.21x = 26,616.93
  5. Step 5: Solve for x
    x = 26,616.93/108.21
  6. Step 6: Final answer
    x = 245.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.