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Finding the Third Proportional to 38,857 and 83,378

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Solution

The third proportional to 38,857 and 83,378 is: 178,909.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,857 : 83,378 = 83,378 : x
  2. Step 2: Convert to fraction form
    38,857/83,378 = 83,378/x
  3. Step 3: Cross multiply
    38,857x = 83,378 × 83,378
  4. Step 4: Simplify right side
    38,857x = 6,951,890,884
  5. Step 5: Solve for x
    x = 6,951,890,884/38,857
  6. Step 6: Final answer
    x = 178,909.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.