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Finding the Third Proportional to 27,799 and 43,109

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Solution

The third proportional to 27,799 and 43,109 is: 66,850.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,799 : 43,109 = 43,109 : x
  2. Step 2: Convert to fraction form
    27,799/43,109 = 43,109/x
  3. Step 3: Cross multiply
    27,799x = 43,109 × 43,109
  4. Step 4: Simplify right side
    27,799x = 1,858,385,881
  5. Step 5: Solve for x
    x = 1,858,385,881/27,799
  6. Step 6: Final answer
    x = 66,850.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.