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Finding the Third Proportional to 3.22 and 4.22

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Solution

The third proportional to 3.22 and 4.22 is: 5.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.22 : 4.22 = 4.22 : x
  2. Step 2: Convert to fraction form
    3.22/4.22 = 4.22/x
  3. Step 3: Cross multiply
    3.22x = 4.22 × 4.22
  4. Step 4: Simplify right side
    3.22x = 17.81
  5. Step 5: Solve for x
    x = 17.81/3.22
  6. Step 6: Final answer
    x = 5.54

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.