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Finding the Third Proportional to 396,164 and 613,695

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Solution

The third proportional to 396,164 and 613,695 is: 950,670.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,164 : 613,695 = 613,695 : x
  2. Step 2: Convert to fraction form
    396,164/613,695 = 613,695/x
  3. Step 3: Cross multiply
    396,164x = 613,695 × 613,695
  4. Step 4: Simplify right side
    396,164x = 376,621,553,025
  5. Step 5: Solve for x
    x = 376,621,553,025/396,164
  6. Step 6: Final answer
    x = 950,670.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.