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Finding the Third Proportional to 3,578 and 8,393

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Solution

The third proportional to 3,578 and 8,393 is: 19,687.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578 : 8,393 = 8,393 : x
  2. Step 2: Convert to fraction form
    3,578/8,393 = 8,393/x
  3. Step 3: Cross multiply
    3,578x = 8,393 × 8,393
  4. Step 4: Simplify right side
    3,578x = 70,442,449
  5. Step 5: Solve for x
    x = 70,442,449/3,578
  6. Step 6: Final answer
    x = 19,687.66

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.