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Finding the Third Proportional to 5.36 and 7.42

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Solution

The third proportional to 5.36 and 7.42 is: 10.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.36 : 7.42 = 7.42 : x
  2. Step 2: Convert to fraction form
    5.36/7.42 = 7.42/x
  3. Step 3: Cross multiply
    5.36x = 7.42 × 7.42
  4. Step 4: Simplify right side
    5.36x = 55.08
  5. Step 5: Solve for x
    x = 55.08/5.36
  6. Step 6: Final answer
    x = 10.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.