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Finding the Third Proportional to 21,834 and 51,993

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Solution

The third proportional to 21,834 and 51,993 is: 123,810.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,834 : 51,993 = 51,993 : x
  2. Step 2: Convert to fraction form
    21,834/51,993 = 51,993/x
  3. Step 3: Cross multiply
    21,834x = 51,993 × 51,993
  4. Step 4: Simplify right side
    21,834x = 2,703,272,049
  5. Step 5: Solve for x
    x = 2,703,272,049/21,834
  6. Step 6: Final answer
    x = 123,810.21

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.