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Finding the Third Proportional to 192,118 and 308,679

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Solution

The third proportional to 192,118 and 308,679 is: 495,959.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,118 : 308,679 = 308,679 : x
  2. Step 2: Convert to fraction form
    192,118/308,679 = 308,679/x
  3. Step 3: Cross multiply
    192,118x = 308,679 × 308,679
  4. Step 4: Simplify right side
    192,118x = 95,282,725,041
  5. Step 5: Solve for x
    x = 95,282,725,041/192,118
  6. Step 6: Final answer
    x = 495,959.38

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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.