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Finding the Third Proportional to 339,400 and 503,229

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Solution

The third proportional to 339,400 and 503,229 is: 746,138.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,400 : 503,229 = 503,229 : x
  2. Step 2: Convert to fraction form
    339,400/503,229 = 503,229/x
  3. Step 3: Cross multiply
    339,400x = 503,229 × 503,229
  4. Step 4: Simplify right side
    339,400x = 253,239,426,441
  5. Step 5: Solve for x
    x = 253,239,426,441/339,400
  6. Step 6: Final answer
    x = 746,138.56

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.