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Finding the Third Proportional to 259,347 and 394,353

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Solution

The third proportional to 259,347 and 394,353 is: 599,637.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,347 : 394,353 = 394,353 : x
  2. Step 2: Convert to fraction form
    259,347/394,353 = 394,353/x
  3. Step 3: Cross multiply
    259,347x = 394,353 × 394,353
  4. Step 4: Simplify right side
    259,347x = 155,514,288,609
  5. Step 5: Solve for x
    x = 155,514,288,609/259,347
  6. Step 6: Final answer
    x = 599,637.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.