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Finding the Third Proportional to 272,012 and 408,255

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Solution

The third proportional to 272,012 and 408,255 is: 612,738.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,012 : 408,255 = 408,255 : x
  2. Step 2: Convert to fraction form
    272,012/408,255 = 408,255/x
  3. Step 3: Cross multiply
    272,012x = 408,255 × 408,255
  4. Step 4: Simplify right side
    272,012x = 166,672,145,025
  5. Step 5: Solve for x
    x = 166,672,145,025/272,012
  6. Step 6: Final answer
    x = 612,738.21

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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.