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Finding the Third Proportional to 15,867 and 20,868.75

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Solution

The third proportional to 15,867 and 20,868.75 is: 27,447.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,867 : 20,868.75 = 20,868.75 : x
  2. Step 2: Convert to fraction form
    15,867/20,868.75 = 20,868.75/x
  3. Step 3: Cross multiply
    15,867x = 20,868.75 × 20,868.75
  4. Step 4: Simplify right side
    15,867x = 435,504,726.56
  5. Step 5: Solve for x
    x = 435,504,726.56/15,867
  6. Step 6: Final answer
    x = 27,447.20

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.