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Finding the Third Proportional to 13,350 and 20,481

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Solution

The third proportional to 13,350 and 20,481 is: 31,421.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,350 : 20,481 = 20,481 : x
  2. Step 2: Convert to fraction form
    13,350/20,481 = 20,481/x
  3. Step 3: Cross multiply
    13,350x = 20,481 × 20,481
  4. Step 4: Simplify right side
    13,350x = 419,471,361
  5. Step 5: Solve for x
    x = 419,471,361/13,350
  6. Step 6: Final answer
    x = 31,421.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.