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Finding the Third Proportional to 192,106 and 308,663

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Solution

The third proportional to 192,106 and 308,663 is: 495,938.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,106 : 308,663 = 308,663 : x
  2. Step 2: Convert to fraction form
    192,106/308,663 = 308,663/x
  3. Step 3: Cross multiply
    192,106x = 308,663 × 308,663
  4. Step 4: Simplify right side
    192,106x = 95,272,847,569
  5. Step 5: Solve for x
    x = 95,272,847,569/192,106
  6. Step 6: Final answer
    x = 495,938.95

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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.