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Finding the Third Proportional to 15,481.50 and 20,143.50

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Solution

The third proportional to 15,481.50 and 20,143.50 is: 26,209.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,481.50 : 20,143.50 = 20,143.50 : x
  2. Step 2: Convert to fraction form
    15,481.50/20,143.50 = 20,143.50/x
  3. Step 3: Cross multiply
    15,481.50x = 20,143.50 × 20,143.50
  4. Step 4: Simplify right side
    15,481.50x = 405,760,592.25
  5. Step 5: Solve for x
    x = 405,760,592.25/15,481.50
  6. Step 6: Final answer
    x = 26,209.38

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.