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Finding the Third Proportional to 108.12 and 237.87

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Solution

The third proportional to 108.12 and 237.87 is: 523.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.12 : 237.87 = 237.87 : x
  2. Step 2: Convert to fraction form
    108.12/237.87 = 237.87/x
  3. Step 3: Cross multiply
    108.12x = 237.87 × 237.87
  4. Step 4: Simplify right side
    108.12x = 56,581.32
  5. Step 5: Solve for x
    x = 56,581.32/108.12
  6. Step 6: Final answer
    x = 523.31

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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.