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Finding the Third Proportional to 8,206 and 12,278

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Solution

The third proportional to 8,206 and 12,278 is: 18,370.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206 : 12,278 = 12,278 : x
  2. Step 2: Convert to fraction form
    8,206/12,278 = 12,278/x
  3. Step 3: Cross multiply
    8,206x = 12,278 × 12,278
  4. Step 4: Simplify right side
    8,206x = 150,749,284
  5. Step 5: Solve for x
    x = 150,749,284/8,206
  6. Step 6: Final answer
    x = 18,370.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.