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Finding the Third Proportional to 192,177 and 280,860

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Solution

The third proportional to 192,177 and 280,860 is: 410,467.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,177 : 280,860 = 280,860 : x
  2. Step 2: Convert to fraction form
    192,177/280,860 = 280,860/x
  3. Step 3: Cross multiply
    192,177x = 280,860 × 280,860
  4. Step 4: Simplify right side
    192,177x = 78,882,339,600
  5. Step 5: Solve for x
    x = 78,882,339,600/192,177
  6. Step 6: Final answer
    x = 410,467.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.