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Finding the Third Proportional to 74,755 and 115,868

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Solution

The third proportional to 74,755 and 115,868 is: 179,591.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,755 : 115,868 = 115,868 : x
  2. Step 2: Convert to fraction form
    74,755/115,868 = 115,868/x
  3. Step 3: Cross multiply
    74,755x = 115,868 × 115,868
  4. Step 4: Simplify right side
    74,755x = 13,425,393,424
  5. Step 5: Solve for x
    x = 13,425,393,424/74,755
  6. Step 6: Final answer
    x = 179,591.91

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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.