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Finding the Third Proportional to 339,907 and 727,910

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Solution

The third proportional to 339,907 and 727,910 is: 1,558,817.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,907 : 727,910 = 727,910 : x
  2. Step 2: Convert to fraction form
    339,907/727,910 = 727,910/x
  3. Step 3: Cross multiply
    339,907x = 727,910 × 727,910
  4. Step 4: Simplify right side
    339,907x = 529,852,968,100
  5. Step 5: Solve for x
    x = 529,852,968,100/339,907
  6. Step 6: Final answer
    x = 1,558,817.47

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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.