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Finding the Third Proportional to 87,780 and 192,216

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Solution

The third proportional to 87,780 and 192,216 is: 420,904.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,780 : 192,216 = 192,216 : x
  2. Step 2: Convert to fraction form
    87,780/192,216 = 192,216/x
  3. Step 3: Cross multiply
    87,780x = 192,216 × 192,216
  4. Step 4: Simplify right side
    87,780x = 36,946,990,656
  5. Step 5: Solve for x
    x = 36,946,990,656/87,780
  6. Step 6: Final answer
    x = 420,904.43

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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.