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Finding the Third Proportional to 68,781 and 150,684

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Solution

The third proportional to 68,781 and 150,684 is: 330,115.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,781 : 150,684 = 150,684 : x
  2. Step 2: Convert to fraction form
    68,781/150,684 = 150,684/x
  3. Step 3: Cross multiply
    68,781x = 150,684 × 150,684
  4. Step 4: Simplify right side
    68,781x = 22,705,667,856
  5. Step 5: Solve for x
    x = 22,705,667,856/68,781
  6. Step 6: Final answer
    x = 330,115.41

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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.