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Finding the Third Proportional to 31,717 and 68,306

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Solution

The third proportional to 31,717 and 68,306 is: 147,104.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,717 : 68,306 = 68,306 : x
  2. Step 2: Convert to fraction form
    31,717/68,306 = 68,306/x
  3. Step 3: Cross multiply
    31,717x = 68,306 × 68,306
  4. Step 4: Simplify right side
    31,717x = 4,665,709,636
  5. Step 5: Solve for x
    x = 4,665,709,636/31,717
  6. Step 6: Final answer
    x = 147,104.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.