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Finding the Third Proportional to 13,578 and 20,223

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Solution

The third proportional to 13,578 and 20,223 is: 30,120.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,578 : 20,223 = 20,223 : x
  2. Step 2: Convert to fraction form
    13,578/20,223 = 20,223/x
  3. Step 3: Cross multiply
    13,578x = 20,223 × 20,223
  4. Step 4: Simplify right side
    13,578x = 408,969,729
  5. Step 5: Solve for x
    x = 408,969,729/13,578
  6. Step 6: Final answer
    x = 30,120.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.