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Finding the Third Proportional to 117,891 and 180,279

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Solution

The third proportional to 117,891 and 180,279 is: 275,682.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,891 : 180,279 = 180,279 : x
  2. Step 2: Convert to fraction form
    117,891/180,279 = 180,279/x
  3. Step 3: Cross multiply
    117,891x = 180,279 × 180,279
  4. Step 4: Simplify right side
    117,891x = 32,500,517,841
  5. Step 5: Solve for x
    x = 32,500,517,841/117,891
  6. Step 6: Final answer
    x = 275,682.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.