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Finding the Third Proportional to 278,784 and 613,836

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Solution

The third proportional to 278,784 and 613,836 is: 1,351,564.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,784 : 613,836 = 613,836 : x
  2. Step 2: Convert to fraction form
    278,784/613,836 = 613,836/x
  3. Step 3: Cross multiply
    278,784x = 613,836 × 613,836
  4. Step 4: Simplify right side
    278,784x = 376,794,634,896
  5. Step 5: Solve for x
    x = 376,794,634,896/278,784
  6. Step 6: Final answer
    x = 1,351,564.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.