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Finding the Third Proportional to 396,871 and 869,738

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Solution

The third proportional to 396,871 and 869,738 is: 1,906,020.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,871 : 869,738 = 869,738 : x
  2. Step 2: Convert to fraction form
    396,871/869,738 = 869,738/x
  3. Step 3: Cross multiply
    396,871x = 869,738 × 869,738
  4. Step 4: Simplify right side
    396,871x = 756,444,188,644
  5. Step 5: Solve for x
    x = 756,444,188,644/396,871
  6. Step 6: Final answer
    x = 1,906,020.32

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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.