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Finding the Third Proportional to 108.25 and 230.38

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Solution

The third proportional to 108.25 and 230.38 is: 490.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.25 : 230.38 = 230.38 : x
  2. Step 2: Convert to fraction form
    108.25/230.38 = 230.38/x
  3. Step 3: Cross multiply
    108.25x = 230.38 × 230.38
  4. Step 4: Simplify right side
    108.25x = 53,072.64
  5. Step 5: Solve for x
    x = 53,072.64/108.25
  6. Step 6: Final answer
    x = 490.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.