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Finding the Third Proportional to 5.48 and 8.48

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Solution

The third proportional to 5.48 and 8.48 is: 13.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.48 : 8.48 = 8.48 : x
  2. Step 2: Convert to fraction form
    5.48/8.48 = 8.48/x
  3. Step 3: Cross multiply
    5.48x = 8.48 × 8.48
  4. Step 4: Simplify right side
    5.48x = 71.98
  5. Step 5: Solve for x
    x = 71.98/5.48
  6. Step 6: Final answer
    x = 13.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.