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Finding the Third Proportional to 177,831 and 419,787

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Solution

The third proportional to 177,831 and 419,787 is: 990,947.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,831 : 419,787 = 419,787 : x
  2. Step 2: Convert to fraction form
    177,831/419,787 = 419,787/x
  3. Step 3: Cross multiply
    177,831x = 419,787 × 419,787
  4. Step 4: Simplify right side
    177,831x = 176,221,125,369
  5. Step 5: Solve for x
    x = 176,221,125,369/177,831
  6. Step 6: Final answer
    x = 990,947.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.