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Finding the Third Proportional to 5.38 and 6.22

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Solution

The third proportional to 5.38 and 6.22 is: 7.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.38 : 6.22 = 6.22 : x
  2. Step 2: Convert to fraction form
    5.38/6.22 = 6.22/x
  3. Step 3: Cross multiply
    5.38x = 6.22 × 6.22
  4. Step 4: Simplify right side
    5.38x = 38.72
  5. Step 5: Solve for x
    x = 38.72/5.38
  6. Step 6: Final answer
    x = 7.20

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.