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Finding the Third Proportional to 178,170 and 273,975

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Solution

The third proportional to 178,170 and 273,975 is: 421,295.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,170 : 273,975 = 273,975 : x
  2. Step 2: Convert to fraction form
    178,170/273,975 = 273,975/x
  3. Step 3: Cross multiply
    178,170x = 273,975 × 273,975
  4. Step 4: Simplify right side
    178,170x = 75,062,300,625
  5. Step 5: Solve for x
    x = 75,062,300,625/178,170
  6. Step 6: Final answer
    x = 421,295.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.