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Finding the Third Proportional to 54,338 and 79,881

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Solution

The third proportional to 54,338 and 79,881 is: 117,431.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,338 : 79,881 = 79,881 : x
  2. Step 2: Convert to fraction form
    54,338/79,881 = 79,881/x
  3. Step 3: Cross multiply
    54,338x = 79,881 × 79,881
  4. Step 4: Simplify right side
    54,338x = 6,380,974,161
  5. Step 5: Solve for x
    x = 6,380,974,161/54,338
  6. Step 6: Final answer
    x = 117,431.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.