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Finding the Third Proportional to 5.48 and 7.61

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Solution

The third proportional to 5.48 and 7.61 is: 10.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.48 : 7.61 = 7.61 : x
  2. Step 2: Convert to fraction form
    5.48/7.61 = 7.61/x
  3. Step 3: Cross multiply
    5.48x = 7.61 × 7.61
  4. Step 4: Simplify right side
    5.48x = 57.93
  5. Step 5: Solve for x
    x = 57.93/5.48
  6. Step 6: Final answer
    x = 10.57

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.