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Finding the Third Proportional to 378,144 and 819,864

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Solution

The third proportional to 378,144 and 819,864 is: 1,777,568.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,144 : 819,864 = 819,864 : x
  2. Step 2: Convert to fraction form
    378,144/819,864 = 819,864/x
  3. Step 3: Cross multiply
    378,144x = 819,864 × 819,864
  4. Step 4: Simplify right side
    378,144x = 672,176,978,496
  5. Step 5: Solve for x
    x = 672,176,978,496/378,144
  6. Step 6: Final answer
    x = 1,777,568.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.