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Finding the Third Proportional to 5.03 and 7.41

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Solution

The third proportional to 5.03 and 7.41 is: 10.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.03 : 7.41 = 7.41 : x
  2. Step 2: Convert to fraction form
    5.03/7.41 = 7.41/x
  3. Step 3: Cross multiply
    5.03x = 7.41 × 7.41
  4. Step 4: Simplify right side
    5.03x = 54.84
  5. Step 5: Solve for x
    x = 54.84/5.03
  6. Step 6: Final answer
    x = 10.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.