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Finding the Third Proportional to 3.75 and 4.13

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Solution

The third proportional to 3.75 and 4.13 is: 4.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.75 : 4.13 = 4.13 : x
  2. Step 2: Convert to fraction form
    3.75/4.13 = 4.13/x
  3. Step 3: Cross multiply
    3.75x = 4.13 × 4.13
  4. Step 4: Simplify right side
    3.75x = 17.02
  5. Step 5: Solve for x
    x = 17.02/3.75
  6. Step 6: Final answer
    x = 4.54

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.