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Finding the Third Proportional to 8,317 and 12,821

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Solution

The third proportional to 8,317 and 12,821 is: 19,764.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,317 : 12,821 = 12,821 : x
  2. Step 2: Convert to fraction form
    8,317/12,821 = 12,821/x
  3. Step 3: Cross multiply
    8,317x = 12,821 × 12,821
  4. Step 4: Simplify right side
    8,317x = 164,378,041
  5. Step 5: Solve for x
    x = 164,378,041/8,317
  6. Step 6: Final answer
    x = 19,764.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.