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Finding the Third Proportional to 339,909 and 727,914

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Solution

The third proportional to 339,909 and 727,914 is: 1,558,825.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,909 : 727,914 = 727,914 : x
  2. Step 2: Convert to fraction form
    339,909/727,914 = 727,914/x
  3. Step 3: Cross multiply
    339,909x = 727,914 × 727,914
  4. Step 4: Simplify right side
    339,909x = 529,858,791,396
  5. Step 5: Solve for x
    x = 529,858,791,396/339,909
  6. Step 6: Final answer
    x = 1,558,825.43

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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.