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Finding the Third Proportional to 156,104 and 335,876

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Solution

The third proportional to 156,104 and 335,876 is: 722,676.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,104 : 335,876 = 335,876 : x
  2. Step 2: Convert to fraction form
    156,104/335,876 = 335,876/x
  3. Step 3: Cross multiply
    156,104x = 335,876 × 335,876
  4. Step 4: Simplify right side
    156,104x = 112,812,687,376
  5. Step 5: Solve for x
    x = 112,812,687,376/156,104
  6. Step 6: Final answer
    x = 722,676.47

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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.