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Finding the Third Proportional to 90,285 and 192,234.75

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Solution

The third proportional to 90,285 and 192,234.75 is: 409,306.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,285 : 192,234.75 = 192,234.75 : x
  2. Step 2: Convert to fraction form
    90,285/192,234.75 = 192,234.75/x
  3. Step 3: Cross multiply
    90,285x = 192,234.75 × 192,234.75
  4. Step 4: Simplify right side
    90,285x = 36,954,199,107.56
  5. Step 5: Solve for x
    x = 36,954,199,107.56/90,285
  6. Step 6: Final answer
    x = 409,306.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.