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Finding the Third Proportional to 13,841 and 21,170

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Solution

The third proportional to 13,841 and 21,170 is: 32,379.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,841 : 21,170 = 21,170 : x
  2. Step 2: Convert to fraction form
    13,841/21,170 = 21,170/x
  3. Step 3: Cross multiply
    13,841x = 21,170 × 21,170
  4. Step 4: Simplify right side
    13,841x = 448,168,900
  5. Step 5: Solve for x
    x = 448,168,900/13,841
  6. Step 6: Final answer
    x = 32,379.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.