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Finding the Third Proportional to 88,736 and 192,236

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Solution

The third proportional to 88,736 and 192,236 is: 416,456.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,736 : 192,236 = 192,236 : x
  2. Step 2: Convert to fraction form
    88,736/192,236 = 192,236/x
  3. Step 3: Cross multiply
    88,736x = 192,236 × 192,236
  4. Step 4: Simplify right side
    88,736x = 36,954,679,696
  5. Step 5: Solve for x
    x = 36,954,679,696/88,736
  6. Step 6: Final answer
    x = 416,456.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.