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Finding the Third Proportional to 68,142.75 and 159,168.75

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Solution

The third proportional to 68,142.75 and 159,168.75 is: 371,788.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,142.75 : 159,168.75 = 159,168.75 : x
  2. Step 2: Convert to fraction form
    68,142.75/159,168.75 = 159,168.75/x
  3. Step 3: Cross multiply
    68,142.75x = 159,168.75 × 159,168.75
  4. Step 4: Simplify right side
    68,142.75x = 25,334,690,976.56
  5. Step 5: Solve for x
    x = 25,334,690,976.56/68,142.75
  6. Step 6: Final answer
    x = 371,788.50

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.