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Finding the Third Proportional to 177,828 and 419,774

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Solution

The third proportional to 177,828 and 419,774 is: 990,902.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,828 : 419,774 = 419,774 : x
  2. Step 2: Convert to fraction form
    177,828/419,774 = 419,774/x
  3. Step 3: Cross multiply
    177,828x = 419,774 × 419,774
  4. Step 4: Simplify right side
    177,828x = 176,210,211,076
  5. Step 5: Solve for x
    x = 176,210,211,076/177,828
  6. Step 6: Final answer
    x = 990,902.51

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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.