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Finding the Third Proportional to 5.50 and 7.82

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Solution

The third proportional to 5.50 and 7.82 is: 11.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.50 : 7.82 = 7.82 : x
  2. Step 2: Convert to fraction form
    5.50/7.82 = 7.82/x
  3. Step 3: Cross multiply
    5.50x = 7.82 × 7.82
  4. Step 4: Simplify right side
    5.50x = 61.13
  5. Step 5: Solve for x
    x = 61.13/5.50
  6. Step 6: Final answer
    x = 11.11

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.