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Finding the Third Proportional to 10.22 and 22.13

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Solution

The third proportional to 10.22 and 22.13 is: 47.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.22 : 22.13 = 22.13 : x
  2. Step 2: Convert to fraction form
    10.22/22.13 = 22.13/x
  3. Step 3: Cross multiply
    10.22x = 22.13 × 22.13
  4. Step 4: Simplify right side
    10.22x = 489.52
  5. Step 5: Solve for x
    x = 489.52/10.22
  6. Step 6: Final answer
    x = 47.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.