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Finding the Third Proportional to 31,678 and 68,832

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Solution

The third proportional to 31,678 and 68,832 is: 149,562.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,678 : 68,832 = 68,832 : x
  2. Step 2: Convert to fraction form
    31,678/68,832 = 68,832/x
  3. Step 3: Cross multiply
    31,678x = 68,832 × 68,832
  4. Step 4: Simplify right side
    31,678x = 4,737,844,224
  5. Step 5: Solve for x
    x = 4,737,844,224/31,678
  6. Step 6: Final answer
    x = 149,562.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.