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Finding the Third Proportional to 122,354 and 270,912

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Solution

The third proportional to 122,354 and 270,912 is: 599,843.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,354 : 270,912 = 270,912 : x
  2. Step 2: Convert to fraction form
    122,354/270,912 = 270,912/x
  3. Step 3: Cross multiply
    122,354x = 270,912 × 270,912
  4. Step 4: Simplify right side
    122,354x = 73,393,311,744
  5. Step 5: Solve for x
    x = 73,393,311,744/122,354
  6. Step 6: Final answer
    x = 599,843.99

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.