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Finding the Third Proportional to 13,579.97 and 20,291.11

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Solution

The third proportional to 13,579.97 and 20,291.11 is: 30,318.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,579.97 : 20,291.11 = 20,291.11 : x
  2. Step 2: Convert to fraction form
    13,579.97/20,291.11 = 20,291.11/x
  3. Step 3: Cross multiply
    13,579.97x = 20,291.11 × 20,291.11
  4. Step 4: Simplify right side
    13,579.97x = 411,729,119.67
  5. Step 5: Solve for x
    x = 411,729,119.67/13,579.97
  6. Step 6: Final answer
    x = 30,318.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.