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Finding the Third Proportional to 13,218 and 20,491

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Solution

The third proportional to 13,218 and 20,491 is: 31,765.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,218 : 20,491 = 20,491 : x
  2. Step 2: Convert to fraction form
    13,218/20,491 = 20,491/x
  3. Step 3: Cross multiply
    13,218x = 20,491 × 20,491
  4. Step 4: Simplify right side
    13,218x = 419,881,081
  5. Step 5: Solve for x
    x = 419,881,081/13,218
  6. Step 6: Final answer
    x = 31,765.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.