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Finding the Third Proportional to 5.42 and 7.22

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Solution

The third proportional to 5.42 and 7.22 is: 9.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.42 : 7.22 = 7.22 : x
  2. Step 2: Convert to fraction form
    5.42/7.22 = 7.22/x
  3. Step 3: Cross multiply
    5.42x = 7.22 × 7.22
  4. Step 4: Simplify right side
    5.42x = 52.16
  5. Step 5: Solve for x
    x = 52.16/5.42
  6. Step 6: Final answer
    x = 9.63

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.