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Finding the Third Proportional to 5,200.13 and 8,184.75

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Solution

The third proportional to 5,200.13 and 8,184.75 is: 12,882.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.13 : 8,184.75 = 8,184.75 : x
  2. Step 2: Convert to fraction form
    5,200.13/8,184.75 = 8,184.75/x
  3. Step 3: Cross multiply
    5,200.13x = 8,184.75 × 8,184.75
  4. Step 4: Simplify right side
    5,200.13x = 66,990,132.56
  5. Step 5: Solve for x
    x = 66,990,132.56/5,200.13
  6. Step 6: Final answer
    x = 12,882.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.