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Finding the Third Proportional to 156,935 and 343,027

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Solution

The third proportional to 156,935 and 343,027 is: 749,785.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,935 : 343,027 = 343,027 : x
  2. Step 2: Convert to fraction form
    156,935/343,027 = 343,027/x
  3. Step 3: Cross multiply
    156,935x = 343,027 × 343,027
  4. Step 4: Simplify right side
    156,935x = 117,667,522,729
  5. Step 5: Solve for x
    x = 117,667,522,729/156,935
  6. Step 6: Final answer
    x = 749,785.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.