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Finding the Third Proportional to 339,903 and 727,902

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Solution

The third proportional to 339,903 and 727,902 is: 1,558,801.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,903 : 727,902 = 727,902 : x
  2. Step 2: Convert to fraction form
    339,903/727,902 = 727,902/x
  3. Step 3: Cross multiply
    339,903x = 727,902 × 727,902
  4. Step 4: Simplify right side
    339,903x = 529,841,321,604
  5. Step 5: Solve for x
    x = 529,841,321,604/339,903
  6. Step 6: Final answer
    x = 1,558,801.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.