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Finding the Third Proportional to 156,002 and 343,876

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Solution

The third proportional to 156,002 and 343,876 is: 758,007.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,002 : 343,876 = 343,876 : x
  2. Step 2: Convert to fraction form
    156,002/343,876 = 343,876/x
  3. Step 3: Cross multiply
    156,002x = 343,876 × 343,876
  4. Step 4: Simplify right side
    156,002x = 118,250,703,376
  5. Step 5: Solve for x
    x = 118,250,703,376/156,002
  6. Step 6: Final answer
    x = 758,007.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.