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Finding the Third Proportional to 8,299.71 and 12,512.41

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Solution

The third proportional to 8,299.71 and 12,512.41 is: 18,863.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,299.71 : 12,512.41 = 12,512.41 : x
  2. Step 2: Convert to fraction form
    8,299.71/12,512.41 = 12,512.41/x
  3. Step 3: Cross multiply
    8,299.71x = 12,512.41 × 12,512.41
  4. Step 4: Simplify right side
    8,299.71x = 156,560,465.58
  5. Step 5: Solve for x
    x = 156,560,465.58/8,299.71
  6. Step 6: Final answer
    x = 18,863.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.