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Finding the Third Proportional to 68,440 and 140,161

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Solution

The third proportional to 68,440 and 140,161 is: 287,041.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,440 : 140,161 = 140,161 : x
  2. Step 2: Convert to fraction form
    68,440/140,161 = 140,161/x
  3. Step 3: Cross multiply
    68,440x = 140,161 × 140,161
  4. Step 4: Simplify right side
    68,440x = 19,645,105,921
  5. Step 5: Solve for x
    x = 19,645,105,921/68,440
  6. Step 6: Final answer
    x = 287,041.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.