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Finding the Third Proportional to 13,809 and 21,957

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Solution

The third proportional to 13,809 and 21,957 is: 34,912.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,809 : 21,957 = 21,957 : x
  2. Step 2: Convert to fraction form
    13,809/21,957 = 21,957/x
  3. Step 3: Cross multiply
    13,809x = 21,957 × 21,957
  4. Step 4: Simplify right side
    13,809x = 482,109,849
  5. Step 5: Solve for x
    x = 482,109,849/13,809
  6. Step 6: Final answer
    x = 34,912.73

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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.