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Finding the Third Proportional to 31,431 and 68,694

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Solution

The third proportional to 31,431 and 68,694 is: 150,134.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,431 : 68,694 = 68,694 : x
  2. Step 2: Convert to fraction form
    31,431/68,694 = 68,694/x
  3. Step 3: Cross multiply
    31,431x = 68,694 × 68,694
  4. Step 4: Simplify right side
    31,431x = 4,718,865,636
  5. Step 5: Solve for x
    x = 4,718,865,636/31,431
  6. Step 6: Final answer
    x = 150,134.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.