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Finding the Third Proportional to 339,890 and 746,884

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Solution

The third proportional to 339,890 and 746,884 is: 1,641,224.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,890 : 746,884 = 746,884 : x
  2. Step 2: Convert to fraction form
    339,890/746,884 = 746,884/x
  3. Step 3: Cross multiply
    339,890x = 746,884 × 746,884
  4. Step 4: Simplify right side
    339,890x = 557,835,709,456
  5. Step 5: Solve for x
    x = 557,835,709,456/339,890
  6. Step 6: Final answer
    x = 1,641,224.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.