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Finding the Third Proportional to 192,105 and 421,576

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Solution

The third proportional to 192,105 and 421,576 is: 925,151.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,105 : 421,576 = 421,576 : x
  2. Step 2: Convert to fraction form
    192,105/421,576 = 421,576/x
  3. Step 3: Cross multiply
    192,105x = 421,576 × 421,576
  4. Step 4: Simplify right side
    192,105x = 177,726,323,776
  5. Step 5: Solve for x
    x = 177,726,323,776/192,105
  6. Step 6: Final answer
    x = 925,151.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.