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Finding the Third Proportional to 180,285 and 261,125

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Solution

The third proportional to 180,285 and 261,125 is: 378,213.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,285 : 261,125 = 261,125 : x
  2. Step 2: Convert to fraction form
    180,285/261,125 = 261,125/x
  3. Step 3: Cross multiply
    180,285x = 261,125 × 261,125
  4. Step 4: Simplify right side
    180,285x = 68,186,265,625
  5. Step 5: Solve for x
    x = 68,186,265,625/180,285
  6. Step 6: Final answer
    x = 378,213.75

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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.