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Finding the Third Proportional to 177,802 and 419,716

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Solution

The third proportional to 177,802 and 419,716 is: 990,773.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,802 : 419,716 = 419,716 : x
  2. Step 2: Convert to fraction form
    177,802/419,716 = 419,716/x
  3. Step 3: Cross multiply
    177,802x = 419,716 × 419,716
  4. Step 4: Simplify right side
    177,802x = 176,161,520,656
  5. Step 5: Solve for x
    x = 176,161,520,656/177,802
  6. Step 6: Final answer
    x = 990,773.56

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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.