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Finding the Third Proportional to 20,481 and 27,520.50

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Solution

The third proportional to 20,481 and 27,520.50 is: 36,979.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,481 : 27,520.50 = 27,520.50 : x
  2. Step 2: Convert to fraction form
    20,481/27,520.50 = 27,520.50/x
  3. Step 3: Cross multiply
    20,481x = 27,520.50 × 27,520.50
  4. Step 4: Simplify right side
    20,481x = 757,377,920.25
  5. Step 5: Solve for x
    x = 757,377,920.25/20,481
  6. Step 6: Final answer
    x = 36,979.54

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.