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Finding the Third Proportional to 13,138 and 20,901

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Solution

The third proportional to 13,138 and 20,901 is: 33,251.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138 : 20,901 = 20,901 : x
  2. Step 2: Convert to fraction form
    13,138/20,901 = 20,901/x
  3. Step 3: Cross multiply
    13,138x = 20,901 × 20,901
  4. Step 4: Simplify right side
    13,138x = 436,851,801
  5. Step 5: Solve for x
    x = 436,851,801/13,138
  6. Step 6: Final answer
    x = 33,251.01

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.