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Finding the Third Proportional to 5.25 and 12.31

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Solution

The third proportional to 5.25 and 12.31 is: 28.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.25 : 12.31 = 12.31 : x
  2. Step 2: Convert to fraction form
    5.25/12.31 = 12.31/x
  3. Step 3: Cross multiply
    5.25x = 12.31 × 12.31
  4. Step 4: Simplify right side
    5.25x = 151.60
  5. Step 5: Solve for x
    x = 151.60/5.25
  6. Step 6: Final answer
    x = 28.88

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.