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Finding the Third Proportional to 516,398 and 782,325

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Solution

The third proportional to 516,398 and 782,325 is: 1,185,195.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,398 : 782,325 = 782,325 : x
  2. Step 2: Convert to fraction form
    516,398/782,325 = 782,325/x
  3. Step 3: Cross multiply
    516,398x = 782,325 × 782,325
  4. Step 4: Simplify right side
    516,398x = 612,032,405,625
  5. Step 5: Solve for x
    x = 612,032,405,625/516,398
  6. Step 6: Final answer
    x = 1,185,195.15

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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.