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Finding the Third Proportional to 108.12 and 231.86

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Solution

The third proportional to 108.12 and 231.86 is: 497.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.12 : 231.86 = 231.86 : x
  2. Step 2: Convert to fraction form
    108.12/231.86 = 231.86/x
  3. Step 3: Cross multiply
    108.12x = 231.86 × 231.86
  4. Step 4: Simplify right side
    108.12x = 53,759.76
  5. Step 5: Solve for x
    x = 53,759.76/108.12
  6. Step 6: Final answer
    x = 497.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.