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Finding the Third Proportional to 519,384 and 782,493

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Solution

The third proportional to 519,384 and 782,493 is: 1,178,887.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,384 : 782,493 = 782,493 : x
  2. Step 2: Convert to fraction form
    519,384/782,493 = 782,493/x
  3. Step 3: Cross multiply
    519,384x = 782,493 × 782,493
  4. Step 4: Simplify right side
    519,384x = 612,295,295,049
  5. Step 5: Solve for x
    x = 612,295,295,049/519,384
  6. Step 6: Final answer
    x = 1,178,887.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.