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Finding the Third Proportional to 5,976.75 and 13,133.25

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Solution

The third proportional to 5,976.75 and 13,133.25 is: 28,858.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.75 : 13,133.25 = 13,133.25 : x
  2. Step 2: Convert to fraction form
    5,976.75/13,133.25 = 13,133.25/x
  3. Step 3: Cross multiply
    5,976.75x = 13,133.25 × 13,133.25
  4. Step 4: Simplify right side
    5,976.75x = 172,482,255.56
  5. Step 5: Solve for x
    x = 172,482,255.56/5,976.75
  6. Step 6: Final answer
    x = 28,858.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.