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Finding the Third Proportional to 90,828 and 192,474

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Solution

The third proportional to 90,828 and 192,474 is: 407,872.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,828 : 192,474 = 192,474 : x
  2. Step 2: Convert to fraction form
    90,828/192,474 = 192,474/x
  3. Step 3: Cross multiply
    90,828x = 192,474 × 192,474
  4. Step 4: Simplify right side
    90,828x = 37,046,240,676
  5. Step 5: Solve for x
    x = 37,046,240,676/90,828
  6. Step 6: Final answer
    x = 407,872.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.