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Finding the Third Proportional to 396,134 and 855,392

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Solution

The third proportional to 396,134 and 855,392 is: 1,847,090.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,134 : 855,392 = 855,392 : x
  2. Step 2: Convert to fraction form
    396,134/855,392 = 855,392/x
  3. Step 3: Cross multiply
    396,134x = 855,392 × 855,392
  4. Step 4: Simplify right side
    396,134x = 731,695,473,664
  5. Step 5: Solve for x
    x = 731,695,473,664/396,134
  6. Step 6: Final answer
    x = 1,847,090.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.