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Finding the Third Proportional to 383,406 and 806,474

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Solution

The third proportional to 383,406 and 806,474 is: 1,696,374.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,406 : 806,474 = 806,474 : x
  2. Step 2: Convert to fraction form
    383,406/806,474 = 806,474/x
  3. Step 3: Cross multiply
    383,406x = 806,474 × 806,474
  4. Step 4: Simplify right side
    383,406x = 650,400,312,676
  5. Step 5: Solve for x
    x = 650,400,312,676/383,406
  6. Step 6: Final answer
    x = 1,696,374.89

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.