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Finding the Third Proportional to 214,723 and 339,950

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Solution

The third proportional to 214,723 and 339,950 is: 538,209.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,723 : 339,950 = 339,950 : x
  2. Step 2: Convert to fraction form
    214,723/339,950 = 339,950/x
  3. Step 3: Cross multiply
    214,723x = 339,950 × 339,950
  4. Step 4: Simplify right side
    214,723x = 115,566,002,500
  5. Step 5: Solve for x
    x = 115,566,002,500/214,723
  6. Step 6: Final answer
    x = 538,209.71

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.