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Finding the Third Proportional to 396,016 and 613,896

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Solution

The third proportional to 396,016 and 613,896 is: 951,649.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,016 : 613,896 = 613,896 : x
  2. Step 2: Convert to fraction form
    396,016/613,896 = 613,896/x
  3. Step 3: Cross multiply
    396,016x = 613,896 × 613,896
  4. Step 4: Simplify right side
    396,016x = 376,868,298,816
  5. Step 5: Solve for x
    x = 376,868,298,816/396,016
  6. Step 6: Final answer
    x = 951,649.17

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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.