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Finding the Third Proportional to 108.42 and 219.59

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Solution

The third proportional to 108.42 and 219.59 is: 444.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.42 : 219.59 = 219.59 : x
  2. Step 2: Convert to fraction form
    108.42/219.59 = 219.59/x
  3. Step 3: Cross multiply
    108.42x = 219.59 × 219.59
  4. Step 4: Simplify right side
    108.42x = 48,217.98
  5. Step 5: Solve for x
    x = 48,217.98/108.42
  6. Step 6: Final answer
    x = 444.73

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.