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Finding the Third Proportional to 13,150 and 20,401

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Solution

The third proportional to 13,150 and 20,401 is: 31,650.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,150 : 20,401 = 20,401 : x
  2. Step 2: Convert to fraction form
    13,150/20,401 = 20,401/x
  3. Step 3: Cross multiply
    13,150x = 20,401 × 20,401
  4. Step 4: Simplify right side
    13,150x = 416,200,801
  5. Step 5: Solve for x
    x = 416,200,801/13,150
  6. Step 6: Final answer
    x = 31,650.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.