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Finding the Third Proportional to 31,816 and 68,876

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Solution

The third proportional to 31,816 and 68,876 is: 149,104.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,816 : 68,876 = 68,876 : x
  2. Step 2: Convert to fraction form
    31,816/68,876 = 68,876/x
  3. Step 3: Cross multiply
    31,816x = 68,876 × 68,876
  4. Step 4: Simplify right side
    31,816x = 4,743,903,376
  5. Step 5: Solve for x
    x = 4,743,903,376/31,816
  6. Step 6: Final answer
    x = 149,104.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.