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Finding the Third Proportional to 394,879 and 577,509

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Solution

The third proportional to 394,879 and 577,509 is: 844,604.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,879 : 577,509 = 577,509 : x
  2. Step 2: Convert to fraction form
    394,879/577,509 = 577,509/x
  3. Step 3: Cross multiply
    394,879x = 577,509 × 577,509
  4. Step 4: Simplify right side
    394,879x = 333,516,645,081
  5. Step 5: Solve for x
    x = 333,516,645,081/394,879
  6. Step 6: Final answer
    x = 844,604.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.