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Finding the Third Proportional to 13,217.25 and 18,997.88

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Solution

The third proportional to 13,217.25 and 18,997.88 is: 27,306.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,217.25 : 18,997.88 = 18,997.88 : x
  2. Step 2: Convert to fraction form
    13,217.25/18,997.88 = 18,997.88/x
  3. Step 3: Cross multiply
    13,217.25x = 18,997.88 × 18,997.88
  4. Step 4: Simplify right side
    13,217.25x = 360,919,254.52
  5. Step 5: Solve for x
    x = 360,919,254.52/13,217.25
  6. Step 6: Final answer
    x = 27,306.68

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.