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Finding the Third Proportional to 3.31 and 5.22

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Solution

The third proportional to 3.31 and 5.22 is: 8.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.31 : 5.22 = 5.22 : x
  2. Step 2: Convert to fraction form
    3.31/5.22 = 5.22/x
  3. Step 3: Cross multiply
    3.31x = 5.22 × 5.22
  4. Step 4: Simplify right side
    3.31x = 27.30
  5. Step 5: Solve for x
    x = 27.30/3.31
  6. Step 6: Final answer
    x = 8.25

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.