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Finding the Third Proportional to 8,297.44 and 12,419.58

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Solution

The third proportional to 8,297.44 and 12,419.58 is: 18,589.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.44 : 12,419.58 = 12,419.58 : x
  2. Step 2: Convert to fraction form
    8,297.44/12,419.58 = 12,419.58/x
  3. Step 3: Cross multiply
    8,297.44x = 12,419.58 × 12,419.58
  4. Step 4: Simplify right side
    8,297.44x = 154,245,920.80
  5. Step 5: Solve for x
    x = 154,245,920.80/8,297.44
  6. Step 6: Final answer
    x = 18,589.59

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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.