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Finding the Third Proportional to 179,740 and 275,064

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Solution

The third proportional to 179,740 and 275,064 is: 420,942.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,740 : 275,064 = 275,064 : x
  2. Step 2: Convert to fraction form
    179,740/275,064 = 275,064/x
  3. Step 3: Cross multiply
    179,740x = 275,064 × 275,064
  4. Step 4: Simplify right side
    179,740x = 75,660,204,096
  5. Step 5: Solve for x
    x = 75,660,204,096/179,740
  6. Step 6: Final answer
    x = 420,942.50

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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.