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Finding the Third Proportional to 53,832 and 81,912

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Solution

The third proportional to 53,832 and 81,912 is: 124,639.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,832 : 81,912 = 81,912 : x
  2. Step 2: Convert to fraction form
    53,832/81,912 = 81,912/x
  3. Step 3: Cross multiply
    53,832x = 81,912 × 81,912
  4. Step 4: Simplify right side
    53,832x = 6,709,575,744
  5. Step 5: Solve for x
    x = 6,709,575,744/53,832
  6. Step 6: Final answer
    x = 124,639.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.