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Finding the Third Proportional to 5.39 and 8.48

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Solution

The third proportional to 5.39 and 8.48 is: 13.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.39 : 8.48 = 8.48 : x
  2. Step 2: Convert to fraction form
    5.39/8.48 = 8.48/x
  3. Step 3: Cross multiply
    5.39x = 8.48 × 8.48
  4. Step 4: Simplify right side
    5.39x = 71.85
  5. Step 5: Solve for x
    x = 71.85/5.39
  6. Step 6: Final answer
    x = 13.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.