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Finding the Third Proportional to 382,059 and 820,491

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Solution

The third proportional to 382,059 and 820,491 is: 1,762,045.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,059 : 820,491 = 820,491 : x
  2. Step 2: Convert to fraction form
    382,059/820,491 = 820,491/x
  3. Step 3: Cross multiply
    382,059x = 820,491 × 820,491
  4. Step 4: Simplify right side
    382,059x = 673,205,481,081
  5. Step 5: Solve for x
    x = 673,205,481,081/382,059
  6. Step 6: Final answer
    x = 1,762,045.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.