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Finding the Third Proportional to 179,978 and 275,421

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Solution

The third proportional to 179,978 and 275,421 is: 421,477.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,978 : 275,421 = 275,421 : x
  2. Step 2: Convert to fraction form
    179,978/275,421 = 275,421/x
  3. Step 3: Cross multiply
    179,978x = 275,421 × 275,421
  4. Step 4: Simplify right side
    179,978x = 75,856,727,241
  5. Step 5: Solve for x
    x = 75,856,727,241/179,978
  6. Step 6: Final answer
    x = 421,477.78

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