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Finding the Third Proportional to 5.14 and 7.39

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Solution

The third proportional to 5.14 and 7.39 is: 10.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.14 : 7.39 = 7.39 : x
  2. Step 2: Convert to fraction form
    5.14/7.39 = 7.39/x
  3. Step 3: Cross multiply
    5.14x = 7.39 × 7.39
  4. Step 4: Simplify right side
    5.14x = 54.64
  5. Step 5: Solve for x
    x = 54.64/5.14
  6. Step 6: Final answer
    x = 10.63

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.