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Finding the Third Proportional to 122,375 and 251,338

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Solution

The third proportional to 122,375 and 251,338 is: 516,206.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,375 : 251,338 = 251,338 : x
  2. Step 2: Convert to fraction form
    122,375/251,338 = 251,338/x
  3. Step 3: Cross multiply
    122,375x = 251,338 × 251,338
  4. Step 4: Simplify right side
    122,375x = 63,170,790,244
  5. Step 5: Solve for x
    x = 63,170,790,244/122,375
  6. Step 6: Final answer
    x = 516,206.66

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.