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Finding the Third Proportional to 13,646 and 21,891

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Solution

The third proportional to 13,646 and 21,891 is: 35,117.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,646 : 21,891 = 21,891 : x
  2. Step 2: Convert to fraction form
    13,646/21,891 = 21,891/x
  3. Step 3: Cross multiply
    13,646x = 21,891 × 21,891
  4. Step 4: Simplify right side
    13,646x = 479,215,881
  5. Step 5: Solve for x
    x = 479,215,881/13,646
  6. Step 6: Final answer
    x = 35,117.68

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.