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Finding the Third Proportional to 13,638 and 20,025

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Solution

The third proportional to 13,638 and 20,025 is: 29,403.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,638 : 20,025 = 20,025 : x
  2. Step 2: Convert to fraction form
    13,638/20,025 = 20,025/x
  3. Step 3: Cross multiply
    13,638x = 20,025 × 20,025
  4. Step 4: Simplify right side
    13,638x = 401,000,625
  5. Step 5: Solve for x
    x = 401,000,625/13,638
  6. Step 6: Final answer
    x = 29,403.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.