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Finding the Third Proportional to 378,962 and 818,644

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Solution

The third proportional to 378,962 and 818,644 is: 1,768,456.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,962 : 818,644 = 818,644 : x
  2. Step 2: Convert to fraction form
    378,962/818,644 = 818,644/x
  3. Step 3: Cross multiply
    378,962x = 818,644 × 818,644
  4. Step 4: Simplify right side
    378,962x = 670,177,998,736
  5. Step 5: Solve for x
    x = 670,177,998,736/378,962
  6. Step 6: Final answer
    x = 1,768,456.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.