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Finding the Third Proportional to 12,843 and 20,378

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Solution

The third proportional to 12,843 and 20,378 is: 32,333.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,843 : 20,378 = 20,378 : x
  2. Step 2: Convert to fraction form
    12,843/20,378 = 20,378/x
  3. Step 3: Cross multiply
    12,843x = 20,378 × 20,378
  4. Step 4: Simplify right side
    12,843x = 415,262,884
  5. Step 5: Solve for x
    x = 415,262,884/12,843
  6. Step 6: Final answer
    x = 32,333.79

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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.