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Finding the Third Proportional to 339,802 and 539,834

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Solution

The third proportional to 339,802 and 539,834 is: 857,619.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,802 : 539,834 = 539,834 : x
  2. Step 2: Convert to fraction form
    339,802/539,834 = 539,834/x
  3. Step 3: Cross multiply
    339,802x = 539,834 × 539,834
  4. Step 4: Simplify right side
    339,802x = 291,420,747,556
  5. Step 5: Solve for x
    x = 291,420,747,556/339,802
  6. Step 6: Final answer
    x = 857,619.28

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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.