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Finding the Third Proportional to 383,821 and 811,928

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Solution

The third proportional to 383,821 and 811,928 is: 1,717,537.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,821 : 811,928 = 811,928 : x
  2. Step 2: Convert to fraction form
    383,821/811,928 = 811,928/x
  3. Step 3: Cross multiply
    383,821x = 811,928 × 811,928
  4. Step 4: Simplify right side
    383,821x = 659,227,077,184
  5. Step 5: Solve for x
    x = 659,227,077,184/383,821
  6. Step 6: Final answer
    x = 1,717,537.80

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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.