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Finding the Third Proportional to 177,692 and 419,469

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Solution

The third proportional to 177,692 and 419,469 is: 990,220.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,692 : 419,469 = 419,469 : x
  2. Step 2: Convert to fraction form
    177,692/419,469 = 419,469/x
  3. Step 3: Cross multiply
    177,692x = 419,469 × 419,469
  4. Step 4: Simplify right side
    177,692x = 175,954,241,961
  5. Step 5: Solve for x
    x = 175,954,241,961/177,692
  6. Step 6: Final answer
    x = 990,220.39

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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.