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Finding the Third Proportional to 378,936 and 801,360

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Solution

The third proportional to 378,936 and 801,360 is: 1,694,686.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,936 : 801,360 = 801,360 : x
  2. Step 2: Convert to fraction form
    378,936/801,360 = 801,360/x
  3. Step 3: Cross multiply
    378,936x = 801,360 × 801,360
  4. Step 4: Simplify right side
    378,936x = 642,177,849,600
  5. Step 5: Solve for x
    x = 642,177,849,600/378,936
  6. Step 6: Final answer
    x = 1,694,686.83

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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.