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Finding the Third Proportional to 13,159 and 20,918

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Solution

The third proportional to 13,159 and 20,918 is: 33,251.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,159 : 20,918 = 20,918 : x
  2. Step 2: Convert to fraction form
    13,159/20,918 = 20,918/x
  3. Step 3: Cross multiply
    13,159x = 20,918 × 20,918
  4. Step 4: Simplify right side
    13,159x = 437,562,724
  5. Step 5: Solve for x
    x = 437,562,724/13,159
  6. Step 6: Final answer
    x = 33,251.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.