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Finding the Third Proportional to 192,126 and 308,691

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Solution

The third proportional to 192,126 and 308,691 is: 495,977.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,126 : 308,691 = 308,691 : x
  2. Step 2: Convert to fraction form
    192,126/308,691 = 308,691/x
  3. Step 3: Cross multiply
    192,126x = 308,691 × 308,691
  4. Step 4: Simplify right side
    192,126x = 95,290,133,481
  5. Step 5: Solve for x
    x = 95,290,133,481/192,126
  6. Step 6: Final answer
    x = 495,977.29

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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.