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Finding the Third Proportional to 68,431 and 140,143

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Solution

The third proportional to 68,431 and 140,143 is: 287,005.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,431 : 140,143 = 140,143 : x
  2. Step 2: Convert to fraction form
    68,431/140,143 = 140,143/x
  3. Step 3: Cross multiply
    68,431x = 140,143 × 140,143
  4. Step 4: Simplify right side
    68,431x = 19,640,060,449
  5. Step 5: Solve for x
    x = 19,640,060,449/68,431
  6. Step 6: Final answer
    x = 287,005.31

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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.