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Finding the Third Proportional to 8,452.69 and 10,808.44

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Solution

The third proportional to 8,452.69 and 10,808.44 is: 13,820.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,452.69 : 10,808.44 = 10,808.44 : x
  2. Step 2: Convert to fraction form
    8,452.69/10,808.44 = 10,808.44/x
  3. Step 3: Cross multiply
    8,452.69x = 10,808.44 × 10,808.44
  4. Step 4: Simplify right side
    8,452.69x = 116,822,321.19
  5. Step 5: Solve for x
    x = 116,822,321.19/8,452.69
  6. Step 6: Final answer
    x = 13,820.73

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.