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Finding the Third Proportional to 156,406.50 and 343,917

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Solution

The third proportional to 156,406.50 and 343,917 is: 756,227.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,406.50 : 343,917 = 343,917 : x
  2. Step 2: Convert to fraction form
    156,406.50/343,917 = 343,917/x
  3. Step 3: Cross multiply
    156,406.50x = 343,917 × 343,917
  4. Step 4: Simplify right side
    156,406.50x = 118,278,902,889
  5. Step 5: Solve for x
    x = 118,278,902,889/156,406.50
  6. Step 6: Final answer
    x = 756,227.54

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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.