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Finding the Third Proportional to 180,279 and 261,123

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Solution

The third proportional to 180,279 and 261,123 is: 378,220.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,279 : 261,123 = 261,123 : x
  2. Step 2: Convert to fraction form
    180,279/261,123 = 261,123/x
  3. Step 3: Cross multiply
    180,279x = 261,123 × 261,123
  4. Step 4: Simplify right side
    180,279x = 68,185,221,129
  5. Step 5: Solve for x
    x = 68,185,221,129/180,279
  6. Step 6: Final answer
    x = 378,220.54

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.