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Finding the Third Proportional to 5.38 and 8.23

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Solution

The third proportional to 5.38 and 8.23 is: 12.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.38 : 8.23 = 8.23 : x
  2. Step 2: Convert to fraction form
    5.38/8.23 = 8.23/x
  3. Step 3: Cross multiply
    5.38x = 8.23 × 8.23
  4. Step 4: Simplify right side
    5.38x = 67.68
  5. Step 5: Solve for x
    x = 67.68/5.38
  6. Step 6: Final answer
    x = 12.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.