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Finding the Third Proportional to 3.91 and 4.07

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Solution

The third proportional to 3.91 and 4.07 is: 4.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.91 : 4.07 = 4.07 : x
  2. Step 2: Convert to fraction form
    3.91/4.07 = 4.07/x
  3. Step 3: Cross multiply
    3.91x = 4.07 × 4.07
  4. Step 4: Simplify right side
    3.91x = 16.54
  5. Step 5: Solve for x
    x = 16.54/3.91
  6. Step 6: Final answer
    x = 4.22

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Why These Related Problems?

These problems maintain the same ratio (1.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.