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Finding the Third Proportional to 8,378 and 19,901

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Solution

The third proportional to 8,378 and 19,901 is: 47,272.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378 : 19,901 = 19,901 : x
  2. Step 2: Convert to fraction form
    8,378/19,901 = 19,901/x
  3. Step 3: Cross multiply
    8,378x = 19,901 × 19,901
  4. Step 4: Simplify right side
    8,378x = 396,049,801
  5. Step 5: Solve for x
    x = 396,049,801/8,378
  6. Step 6: Final answer
    x = 47,272.60

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.