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Finding the Third Proportional to 68,512 and 150,116

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Solution

The third proportional to 68,512 and 150,116 is: 328,917.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,512 : 150,116 = 150,116 : x
  2. Step 2: Convert to fraction form
    68,512/150,116 = 150,116/x
  3. Step 3: Cross multiply
    68,512x = 150,116 × 150,116
  4. Step 4: Simplify right side
    68,512x = 22,534,813,456
  5. Step 5: Solve for x
    x = 22,534,813,456/68,512
  6. Step 6: Final answer
    x = 328,917.76

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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.