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Finding the Third Proportional to 13,613 and 20,419

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Solution

The third proportional to 13,613 and 20,419 is: 30,627.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,613 : 20,419 = 20,419 : x
  2. Step 2: Convert to fraction form
    13,613/20,419 = 20,419/x
  3. Step 3: Cross multiply
    13,613x = 20,419 × 20,419
  4. Step 4: Simplify right side
    13,613x = 416,935,561
  5. Step 5: Solve for x
    x = 416,935,561/13,613
  6. Step 6: Final answer
    x = 30,627.75

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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.