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Finding the Third Proportional to 8,313.26 and 12,880.90

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Solution

The third proportional to 8,313.26 and 12,880.90 is: 19,958.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.26 : 12,880.90 = 12,880.90 : x
  2. Step 2: Convert to fraction form
    8,313.26/12,880.90 = 12,880.90/x
  3. Step 3: Cross multiply
    8,313.26x = 12,880.90 × 12,880.90
  4. Step 4: Simplify right side
    8,313.26x = 165,917,544.56
  5. Step 5: Solve for x
    x = 165,917,544.56/8,313.26
  6. Step 6: Final answer
    x = 19,958.19

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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.