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Finding the Third Proportional to 8,318 and 12,863

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Solution

The third proportional to 8,318 and 12,863 is: 19,891.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,318 : 12,863 = 12,863 : x
  2. Step 2: Convert to fraction form
    8,318/12,863 = 12,863/x
  3. Step 3: Cross multiply
    8,318x = 12,863 × 12,863
  4. Step 4: Simplify right side
    8,318x = 165,456,769
  5. Step 5: Solve for x
    x = 165,456,769/8,318
  6. Step 6: Final answer
    x = 19,891.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.