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Finding the Third Proportional to 31,676 and 68,261

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Solution

The third proportional to 31,676 and 68,261 is: 147,100.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,676 : 68,261 = 68,261 : x
  2. Step 2: Convert to fraction form
    31,676/68,261 = 68,261/x
  3. Step 3: Cross multiply
    31,676x = 68,261 × 68,261
  4. Step 4: Simplify right side
    31,676x = 4,659,564,121
  5. Step 5: Solve for x
    x = 4,659,564,121/31,676
  6. Step 6: Final answer
    x = 147,100.77

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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.