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Finding the Third Proportional to 11,193.19 and 23,844.38

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Solution

The third proportional to 11,193.19 and 23,844.38 is: 50,794.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,193.19 : 23,844.38 = 23,844.38 : x
  2. Step 2: Convert to fraction form
    11,193.19/23,844.38 = 23,844.38/x
  3. Step 3: Cross multiply
    11,193.19x = 23,844.38 × 23,844.38
  4. Step 4: Simplify right side
    11,193.19x = 568,554,219.14
  5. Step 5: Solve for x
    x = 568,554,219.14/11,193.19
  6. Step 6: Final answer
    x = 50,794.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.