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Finding the Third Proportional to 192,109 and 308,668

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Solution

The third proportional to 192,109 and 308,668 is: 495,947.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,109 : 308,668 = 308,668 : x
  2. Step 2: Convert to fraction form
    192,109/308,668 = 308,668/x
  3. Step 3: Cross multiply
    192,109x = 308,668 × 308,668
  4. Step 4: Simplify right side
    192,109x = 95,275,934,224
  5. Step 5: Solve for x
    x = 95,275,934,224/192,109
  6. Step 6: Final answer
    x = 495,947.27

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.