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Finding the Third Proportional to 66,992 and 140,876

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Solution

The third proportional to 66,992 and 140,876 is: 296,245.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,992 : 140,876 = 140,876 : x
  2. Step 2: Convert to fraction form
    66,992/140,876 = 140,876/x
  3. Step 3: Cross multiply
    66,992x = 140,876 × 140,876
  4. Step 4: Simplify right side
    66,992x = 19,846,047,376
  5. Step 5: Solve for x
    x = 19,846,047,376/66,992
  6. Step 6: Final answer
    x = 296,245.03

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.