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Finding the Third Proportional to 122,362 and 251,311

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Solution

The third proportional to 122,362 and 251,311 is: 516,150.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,362 : 251,311 = 251,311 : x
  2. Step 2: Convert to fraction form
    122,362/251,311 = 251,311/x
  3. Step 3: Cross multiply
    122,362x = 251,311 × 251,311
  4. Step 4: Simplify right side
    122,362x = 63,157,218,721
  5. Step 5: Solve for x
    x = 63,157,218,721/122,362
  6. Step 6: Final answer
    x = 516,150.59

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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.