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Finding the Third Proportional to 5,138.60 and 9,136.71

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Solution

The third proportional to 5,138.60 and 9,136.71 is: 16,245.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.60 : 9,136.71 = 9,136.71 : x
  2. Step 2: Convert to fraction form
    5,138.60/9,136.71 = 9,136.71/x
  3. Step 3: Cross multiply
    5,138.60x = 9,136.71 × 9,136.71
  4. Step 4: Simplify right side
    5,138.60x = 83,479,379.68
  5. Step 5: Solve for x
    x = 83,479,379.68/5,138.60
  6. Step 6: Final answer
    x = 16,245.56

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.