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Finding the Third Proportional to 378,940 and 801,368

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Solution

The third proportional to 378,940 and 801,368 is: 1,694,702.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,940 : 801,368 = 801,368 : x
  2. Step 2: Convert to fraction form
    378,940/801,368 = 801,368/x
  3. Step 3: Cross multiply
    378,940x = 801,368 × 801,368
  4. Step 4: Simplify right side
    378,940x = 642,190,671,424
  5. Step 5: Solve for x
    x = 642,190,671,424/378,940
  6. Step 6: Final answer
    x = 1,694,702.78

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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.