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Finding the Third Proportional to 5,200.88 and 8,378.25

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Solution

The third proportional to 5,200.88 and 8,378.25 is: 13,496.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.88 : 8,378.25 = 8,378.25 : x
  2. Step 2: Convert to fraction form
    5,200.88/8,378.25 = 8,378.25/x
  3. Step 3: Cross multiply
    5,200.88x = 8,378.25 × 8,378.25
  4. Step 4: Simplify right side
    5,200.88x = 70,195,073.06
  5. Step 5: Solve for x
    x = 70,195,073.06/5,200.88
  6. Step 6: Final answer
    x = 13,496.78

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.