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Finding the Third Proportional to 396,896 and 868,308

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Solution

The third proportional to 396,896 and 868,308 is: 1,899,638.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,896 : 868,308 = 868,308 : x
  2. Step 2: Convert to fraction form
    396,896/868,308 = 868,308/x
  3. Step 3: Cross multiply
    396,896x = 868,308 × 868,308
  4. Step 4: Simplify right side
    396,896x = 753,958,782,864
  5. Step 5: Solve for x
    x = 753,958,782,864/396,896
  6. Step 6: Final answer
    x = 1,899,638.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.