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Finding the Third Proportional to 272,185 and 408,549

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Solution

The third proportional to 272,185 and 408,549 is: 613,231.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,185 : 408,549 = 408,549 : x
  2. Step 2: Convert to fraction form
    272,185/408,549 = 408,549/x
  3. Step 3: Cross multiply
    272,185x = 408,549 × 408,549
  4. Step 4: Simplify right side
    272,185x = 166,912,285,401
  5. Step 5: Solve for x
    x = 166,912,285,401/272,185
  6. Step 6: Final answer
    x = 613,231.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.