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Finding the Third Proportional to 273,601 and 409,305

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Solution

The third proportional to 273,601 and 409,305 is: 612,317.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,601 : 409,305 = 409,305 : x
  2. Step 2: Convert to fraction form
    273,601/409,305 = 409,305/x
  3. Step 3: Cross multiply
    273,601x = 409,305 × 409,305
  4. Step 4: Simplify right side
    273,601x = 167,530,583,025
  5. Step 5: Solve for x
    x = 167,530,583,025/273,601
  6. Step 6: Final answer
    x = 612,317.14

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Why These Related Problems?

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