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Finding the Third Proportional to 5.42 and 13.14

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Solution

The third proportional to 5.42 and 13.14 is: 31.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.42 : 13.14 = 13.14 : x
  2. Step 2: Convert to fraction form
    5.42/13.14 = 13.14/x
  3. Step 3: Cross multiply
    5.42x = 13.14 × 13.14
  4. Step 4: Simplify right side
    5.42x = 172.60
  5. Step 5: Solve for x
    x = 172.60/5.42
  6. Step 6: Final answer
    x = 31.83

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.