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Finding the Third Proportional to 192,240 and 419,376

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Solution

The third proportional to 192,240 and 419,376 is: 914,878.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,240 : 419,376 = 419,376 : x
  2. Step 2: Convert to fraction form
    192,240/419,376 = 419,376/x
  3. Step 3: Cross multiply
    192,240x = 419,376 × 419,376
  4. Step 4: Simplify right side
    192,240x = 175,876,229,376
  5. Step 5: Solve for x
    x = 175,876,229,376/192,240
  6. Step 6: Final answer
    x = 914,878.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.