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Finding the Third Proportional to 4.57 and 7.38

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Solution

The third proportional to 4.57 and 7.38 is: 11.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.57 : 7.38 = 7.38 : x
  2. Step 2: Convert to fraction form
    4.57/7.38 = 7.38/x
  3. Step 3: Cross multiply
    4.57x = 7.38 × 7.38
  4. Step 4: Simplify right side
    4.57x = 54.41
  5. Step 5: Solve for x
    x = 54.41/4.57
  6. Step 6: Final answer
    x = 11.91

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.