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Finding the Third Proportional to 339,147 and 539,853

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Solution

The third proportional to 339,147 and 539,853 is: 859,336.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,147 : 539,853 = 539,853 : x
  2. Step 2: Convert to fraction form
    339,147/539,853 = 539,853/x
  3. Step 3: Cross multiply
    339,147x = 539,853 × 539,853
  4. Step 4: Simplify right side
    339,147x = 291,441,261,609
  5. Step 5: Solve for x
    x = 291,441,261,609/339,147
  6. Step 6: Final answer
    x = 859,336.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.