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Finding the Third Proportional to 192,116 and 308,678

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Solution

The third proportional to 192,116 and 308,678 is: 495,961.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,116 : 308,678 = 308,678 : x
  2. Step 2: Convert to fraction form
    192,116/308,678 = 308,678/x
  3. Step 3: Cross multiply
    192,116x = 308,678 × 308,678
  4. Step 4: Simplify right side
    192,116x = 95,282,107,684
  5. Step 5: Solve for x
    x = 95,282,107,684/192,116
  6. Step 6: Final answer
    x = 495,961.33

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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.