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Finding the Third Proportional to 177,838 and 419,802

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Solution

The third proportional to 177,838 and 419,802 is: 990,978.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,838 : 419,802 = 419,802 : x
  2. Step 2: Convert to fraction form
    177,838/419,802 = 419,802/x
  3. Step 3: Cross multiply
    177,838x = 419,802 × 419,802
  4. Step 4: Simplify right side
    177,838x = 176,233,719,204
  5. Step 5: Solve for x
    x = 176,233,719,204/177,838
  6. Step 6: Final answer
    x = 990,978.98

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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.