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Finding the Third Proportional to 10,813 and 22,161

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Solution

The third proportional to 10,813 and 22,161 is: 45,418.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813 : 22,161 = 22,161 : x
  2. Step 2: Convert to fraction form
    10,813/22,161 = 22,161/x
  3. Step 3: Cross multiply
    10,813x = 22,161 × 22,161
  4. Step 4: Simplify right side
    10,813x = 491,109,921
  5. Step 5: Solve for x
    x = 491,109,921/10,813
  6. Step 6: Final answer
    x = 45,418.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.