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Finding the Third Proportional to 31,931 and 68,601

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Solution

The third proportional to 31,931 and 68,601 is: 147,383.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,931 : 68,601 = 68,601 : x
  2. Step 2: Convert to fraction form
    31,931/68,601 = 68,601/x
  3. Step 3: Cross multiply
    31,931x = 68,601 × 68,601
  4. Step 4: Simplify right side
    31,931x = 4,706,097,201
  5. Step 5: Solve for x
    x = 4,706,097,201/31,931
  6. Step 6: Final answer
    x = 147,383.33

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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.