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Finding the Third Proportional to 122,361 and 251,309

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Solution

The third proportional to 122,361 and 251,309 is: 516,146.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,361 : 251,309 = 251,309 : x
  2. Step 2: Convert to fraction form
    122,361/251,309 = 251,309/x
  3. Step 3: Cross multiply
    122,361x = 251,309 × 251,309
  4. Step 4: Simplify right side
    122,361x = 63,156,213,481
  5. Step 5: Solve for x
    x = 63,156,213,481/122,361
  6. Step 6: Final answer
    x = 516,146.59

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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.