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Finding the Third Proportional to 87,706 and 192,116

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Solution

The third proportional to 87,706 and 192,116 is: 420,821.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,706 : 192,116 = 192,116 : x
  2. Step 2: Convert to fraction form
    87,706/192,116 = 192,116/x
  3. Step 3: Cross multiply
    87,706x = 192,116 × 192,116
  4. Step 4: Simplify right side
    87,706x = 36,908,557,456
  5. Step 5: Solve for x
    x = 36,908,557,456/87,706
  6. Step 6: Final answer
    x = 420,821.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.