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Finding the Third Proportional to 8,183.53 and 12,658.78

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Solution

The third proportional to 8,183.53 and 12,658.78 is: 19,581.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.53 : 12,658.78 = 12,658.78 : x
  2. Step 2: Convert to fraction form
    8,183.53/12,658.78 = 12,658.78/x
  3. Step 3: Cross multiply
    8,183.53x = 12,658.78 × 12,658.78
  4. Step 4: Simplify right side
    8,183.53x = 160,244,742.74
  5. Step 5: Solve for x
    x = 160,244,742.74/8,183.53
  6. Step 6: Final answer
    x = 19,581.37

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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.