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Finding the Third Proportional to 273,589 and 409,285

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Solution

The third proportional to 273,589 and 409,285 is: 612,284.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,589 : 409,285 = 409,285 : x
  2. Step 2: Convert to fraction form
    273,589/409,285 = 409,285/x
  3. Step 3: Cross multiply
    273,589x = 409,285 × 409,285
  4. Step 4: Simplify right side
    273,589x = 167,514,211,225
  5. Step 5: Solve for x
    x = 167,514,211,225/273,589
  6. Step 6: Final answer
    x = 612,284.16

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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.