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Finding the Third Proportional to 13,821 and 20,745

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Solution

The third proportional to 13,821 and 20,745 is: 31,137.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,821 : 20,745 = 20,745 : x
  2. Step 2: Convert to fraction form
    13,821/20,745 = 20,745/x
  3. Step 3: Cross multiply
    13,821x = 20,745 × 20,745
  4. Step 4: Simplify right side
    13,821x = 430,355,025
  5. Step 5: Solve for x
    x = 430,355,025/13,821
  6. Step 6: Final answer
    x = 31,137.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.