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Finding the Third Proportional to 339,013.69 and 512,892

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Solution

The third proportional to 339,013.69 and 512,892 is: 775,951.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,013.69 : 512,892 = 512,892 : x
  2. Step 2: Convert to fraction form
    339,013.69/512,892 = 512,892/x
  3. Step 3: Cross multiply
    339,013.69x = 512,892 × 512,892
  4. Step 4: Simplify right side
    339,013.69x = 263,058,203,664
  5. Step 5: Solve for x
    x = 263,058,203,664/339,013.69
  6. Step 6: Final answer
    x = 775,951.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.