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Finding the Third Proportional to 396,380 and 699,664

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Solution

The third proportional to 396,380 and 699,664 is: 1,235,001.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,380 : 699,664 = 699,664 : x
  2. Step 2: Convert to fraction form
    396,380/699,664 = 699,664/x
  3. Step 3: Cross multiply
    396,380x = 699,664 × 699,664
  4. Step 4: Simplify right side
    396,380x = 489,529,712,896
  5. Step 5: Solve for x
    x = 489,529,712,896/396,380
  6. Step 6: Final answer
    x = 1,235,001.04

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.