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Finding the Third Proportional to 69,876 and 150,876

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Solution

The third proportional to 69,876 and 150,876 is: 325,770.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,876 : 150,876 = 150,876 : x
  2. Step 2: Convert to fraction form
    69,876/150,876 = 150,876/x
  3. Step 3: Cross multiply
    69,876x = 150,876 × 150,876
  4. Step 4: Simplify right side
    69,876x = 22,763,567,376
  5. Step 5: Solve for x
    x = 22,763,567,376/69,876
  6. Step 6: Final answer
    x = 325,770.90

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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.