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Finding the Third Proportional to 378,508 and 799,665

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Solution

The third proportional to 378,508 and 799,665 is: 1,689,433.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,508 : 799,665 = 799,665 : x
  2. Step 2: Convert to fraction form
    378,508/799,665 = 799,665/x
  3. Step 3: Cross multiply
    378,508x = 799,665 × 799,665
  4. Step 4: Simplify right side
    378,508x = 639,464,112,225
  5. Step 5: Solve for x
    x = 639,464,112,225/378,508
  6. Step 6: Final answer
    x = 1,689,433.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.