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Finding the Third Proportional to 332,086 and 518,867

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Solution

The third proportional to 332,086 and 518,867 is: 810,702.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,086 : 518,867 = 518,867 : x
  2. Step 2: Convert to fraction form
    332,086/518,867 = 518,867/x
  3. Step 3: Cross multiply
    332,086x = 518,867 × 518,867
  4. Step 4: Simplify right side
    332,086x = 269,222,963,689
  5. Step 5: Solve for x
    x = 269,222,963,689/332,086
  6. Step 6: Final answer
    x = 810,702.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.