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Finding the Third Proportional to 177,978 and 275,487

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Solution

The third proportional to 177,978 and 275,487 is: 426,418.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,978 : 275,487 = 275,487 : x
  2. Step 2: Convert to fraction form
    177,978/275,487 = 275,487/x
  3. Step 3: Cross multiply
    177,978x = 275,487 × 275,487
  4. Step 4: Simplify right side
    177,978x = 75,893,087,169
  5. Step 5: Solve for x
    x = 75,893,087,169/177,978
  6. Step 6: Final answer
    x = 426,418.36

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.