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Finding the Third Proportional to 439,842 and 727,884

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Solution

The third proportional to 439,842 and 727,884 is: 1,204,557.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,842 : 727,884 = 727,884 : x
  2. Step 2: Convert to fraction form
    439,842/727,884 = 727,884/x
  3. Step 3: Cross multiply
    439,842x = 727,884 × 727,884
  4. Step 4: Simplify right side
    439,842x = 529,815,117,456
  5. Step 5: Solve for x
    x = 529,815,117,456/439,842
  6. Step 6: Final answer
    x = 1,204,557.81

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.