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Finding the Third Proportional to 8,142 and 17,847

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Solution

The third proportional to 8,142 and 17,847 is: 39,120.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142 : 17,847 = 17,847 : x
  2. Step 2: Convert to fraction form
    8,142/17,847 = 17,847/x
  3. Step 3: Cross multiply
    8,142x = 17,847 × 17,847
  4. Step 4: Simplify right side
    8,142x = 318,515,409
  5. Step 5: Solve for x
    x = 318,515,409/8,142
  6. Step 6: Final answer
    x = 39,120.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.