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Finding the Third Proportional to 13,419 and 20,123.44

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Solution

The third proportional to 13,419 and 20,123.44 is: 30,177.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,419 : 20,123.44 = 20,123.44 : x
  2. Step 2: Convert to fraction form
    13,419/20,123.44 = 20,123.44/x
  3. Step 3: Cross multiply
    13,419x = 20,123.44 × 20,123.44
  4. Step 4: Simplify right side
    13,419x = 404,952,736.82
  5. Step 5: Solve for x
    x = 404,952,736.82/13,419
  6. Step 6: Final answer
    x = 30,177.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.