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Finding the Third Proportional to 5,200.88 and 8,052.75

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Solution

The third proportional to 5,200.88 and 8,052.75 is: 12,468.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.88 : 8,052.75 = 8,052.75 : x
  2. Step 2: Convert to fraction form
    5,200.88/8,052.75 = 8,052.75/x
  3. Step 3: Cross multiply
    5,200.88x = 8,052.75 × 8,052.75
  4. Step 4: Simplify right side
    5,200.88x = 64,846,782.56
  5. Step 5: Solve for x
    x = 64,846,782.56/5,200.88
  6. Step 6: Final answer
    x = 12,468.44

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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.