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Finding the Third Proportional to 339,944 and 515,244

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Solution

The third proportional to 339,944 and 515,244 is: 780,941.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,944 : 515,244 = 515,244 : x
  2. Step 2: Convert to fraction form
    339,944/515,244 = 515,244/x
  3. Step 3: Cross multiply
    339,944x = 515,244 × 515,244
  4. Step 4: Simplify right side
    339,944x = 265,476,379,536
  5. Step 5: Solve for x
    x = 265,476,379,536/339,944
  6. Step 6: Final answer
    x = 780,941.51

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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.