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Finding the Third Proportional to 394,800.75 and 635,807.25

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Solution

The third proportional to 394,800.75 and 635,807.25 is: 1,023,936.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,800.75 : 635,807.25 = 635,807.25 : x
  2. Step 2: Convert to fraction form
    394,800.75/635,807.25 = 635,807.25/x
  3. Step 3: Cross multiply
    394,800.75x = 635,807.25 × 635,807.25
  4. Step 4: Simplify right side
    394,800.75x = 404,250,859,152.56
  5. Step 5: Solve for x
    x = 404,250,859,152.56/394,800.75
  6. Step 6: Final answer
    x = 1,023,936.40

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.