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Finding the Third Proportional to 5,398,857 and 8,278,692

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Solution

The third proportional to 5,398,857 and 8,278,692 is: 12,694,676.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398,857 : 8,278,692 = 8,278,692 : x
  2. Step 2: Convert to fraction form
    5,398,857/8,278,692 = 8,278,692/x
  3. Step 3: Cross multiply
    5,398,857x = 8,278,692 × 8,278,692
  4. Step 4: Simplify right side
    5,398,857x = 68,536,741,230,864
  5. Step 5: Solve for x
    x = 68,536,741,230,864/5,398,857
  6. Step 6: Final answer
    x = 12,694,676.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.