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Finding the Third Proportional to 339,370 and 731,192

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Solution

The third proportional to 339,370 and 731,192 is: 1,575,394.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,370 : 731,192 = 731,192 : x
  2. Step 2: Convert to fraction form
    339,370/731,192 = 731,192/x
  3. Step 3: Cross multiply
    339,370x = 731,192 × 731,192
  4. Step 4: Simplify right side
    339,370x = 534,641,740,864
  5. Step 5: Solve for x
    x = 534,641,740,864/339,370
  6. Step 6: Final answer
    x = 1,575,394.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.