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Finding the Third Proportional to 300,676 and 699,192

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Solution

The third proportional to 300,676 and 699,192 is: 1,625,901.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,676 : 699,192 = 699,192 : x
  2. Step 2: Convert to fraction form
    300,676/699,192 = 699,192/x
  3. Step 3: Cross multiply
    300,676x = 699,192 × 699,192
  4. Step 4: Simplify right side
    300,676x = 488,869,452,864
  5. Step 5: Solve for x
    x = 488,869,452,864/300,676
  6. Step 6: Final answer
    x = 1,625,901.15

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.