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Finding the Third Proportional to 134,956 and 192,249

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Solution

The third proportional to 134,956 and 192,249 is: 273,864.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,956 : 192,249 = 192,249 : x
  2. Step 2: Convert to fraction form
    134,956/192,249 = 192,249/x
  3. Step 3: Cross multiply
    134,956x = 192,249 × 192,249
  4. Step 4: Simplify right side
    134,956x = 36,959,678,001
  5. Step 5: Solve for x
    x = 36,959,678,001/134,956
  6. Step 6: Final answer
    x = 273,864.65

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.