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Finding the Third Proportional to 5.22 and 10.92

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Solution

The third proportional to 5.22 and 10.92 is: 22.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.22 : 10.92 = 10.92 : x
  2. Step 2: Convert to fraction form
    5.22/10.92 = 10.92/x
  3. Step 3: Cross multiply
    5.22x = 10.92 × 10.92
  4. Step 4: Simplify right side
    5.22x = 119.16
  5. Step 5: Solve for x
    x = 119.16/5.22
  6. Step 6: Final answer
    x = 22.82

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.