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Finding the Third Proportional to 383,826 and 811,939

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Solution

The third proportional to 383,826 and 811,939 is: 1,717,561.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,826 : 811,939 = 811,939 : x
  2. Step 2: Convert to fraction form
    383,826/811,939 = 811,939/x
  3. Step 3: Cross multiply
    383,826x = 811,939 × 811,939
  4. Step 4: Simplify right side
    383,826x = 659,244,939,721
  5. Step 5: Solve for x
    x = 659,244,939,721/383,826
  6. Step 6: Final answer
    x = 1,717,561.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.