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Finding the Third Proportional to 339,540 and 516,692

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Solution

The third proportional to 339,540 and 516,692 is: 786,271.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,540 : 516,692 = 516,692 : x
  2. Step 2: Convert to fraction form
    339,540/516,692 = 516,692/x
  3. Step 3: Cross multiply
    339,540x = 516,692 × 516,692
  4. Step 4: Simplify right side
    339,540x = 266,970,622,864
  5. Step 5: Solve for x
    x = 266,970,622,864/339,540
  6. Step 6: Final answer
    x = 786,271.49

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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.