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Finding the Third Proportional to 10,728 and 20,121

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Solution

The third proportional to 10,728 and 20,121 is: 37,738.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728 : 20,121 = 20,121 : x
  2. Step 2: Convert to fraction form
    10,728/20,121 = 20,121/x
  3. Step 3: Cross multiply
    10,728x = 20,121 × 20,121
  4. Step 4: Simplify right side
    10,728x = 404,854,641
  5. Step 5: Solve for x
    x = 404,854,641/10,728
  6. Step 6: Final answer
    x = 37,738.13

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.