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Finding the Third Proportional to 11,368 and 23,198

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Solution

The third proportional to 11,368 and 23,198 is: 47,338.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,368 : 23,198 = 23,198 : x
  2. Step 2: Convert to fraction form
    11,368/23,198 = 23,198/x
  3. Step 3: Cross multiply
    11,368x = 23,198 × 23,198
  4. Step 4: Simplify right side
    11,368x = 538,147,204
  5. Step 5: Solve for x
    x = 538,147,204/11,368
  6. Step 6: Final answer
    x = 47,338.78

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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.