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Finding the Third Proportional to 379,408 and 878,374

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Solution

The third proportional to 379,408 and 878,374 is: 2,033,538.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,408 : 878,374 = 878,374 : x
  2. Step 2: Convert to fraction form
    379,408/878,374 = 878,374/x
  3. Step 3: Cross multiply
    379,408x = 878,374 × 878,374
  4. Step 4: Simplify right side
    379,408x = 771,540,883,876
  5. Step 5: Solve for x
    x = 771,540,883,876/379,408
  6. Step 6: Final answer
    x = 2,033,538.79

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.