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Finding the Third Proportional to 10.83 and 22.12

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Solution

The third proportional to 10.83 and 22.12 is: 45.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.83 : 22.12 = 22.12 : x
  2. Step 2: Convert to fraction form
    10.83/22.12 = 22.12/x
  3. Step 3: Cross multiply
    10.83x = 22.12 × 22.12
  4. Step 4: Simplify right side
    10.83x = 489.34
  5. Step 5: Solve for x
    x = 489.34/10.83
  6. Step 6: Final answer
    x = 45.16

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.