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Finding the Third Proportional to 15,378.50 and 20,193

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Solution

The third proportional to 15,378.50 and 20,193 is: 26,514.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,378.50 : 20,193 = 20,193 : x
  2. Step 2: Convert to fraction form
    15,378.50/20,193 = 20,193/x
  3. Step 3: Cross multiply
    15,378.50x = 20,193 × 20,193
  4. Step 4: Simplify right side
    15,378.50x = 407,757,249
  5. Step 5: Solve for x
    x = 407,757,249/15,378.50
  6. Step 6: Final answer
    x = 26,514.76

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.