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Finding the Third Proportional to 339,544 and 516,698

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Solution

The third proportional to 339,544 and 516,698 is: 786,280.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,544 : 516,698 = 516,698 : x
  2. Step 2: Convert to fraction form
    339,544/516,698 = 516,698/x
  3. Step 3: Cross multiply
    339,544x = 516,698 × 516,698
  4. Step 4: Simplify right side
    339,544x = 266,976,823,204
  5. Step 5: Solve for x
    x = 266,976,823,204/339,544
  6. Step 6: Final answer
    x = 786,280.49

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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.