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Finding the Third Proportional to 273,566 and 409,255

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Solution

The third proportional to 273,566 and 409,255 is: 612,245.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,566 : 409,255 = 409,255 : x
  2. Step 2: Convert to fraction form
    273,566/409,255 = 409,255/x
  3. Step 3: Cross multiply
    273,566x = 409,255 × 409,255
  4. Step 4: Simplify right side
    273,566x = 167,489,655,025
  5. Step 5: Solve for x
    x = 167,489,655,025/273,566
  6. Step 6: Final answer
    x = 612,245.87

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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.