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Finding the Third Proportional to 122,357 and 252,328

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Solution

The third proportional to 122,357 and 252,328 is: 520,357.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,357 : 252,328 = 252,328 : x
  2. Step 2: Convert to fraction form
    122,357/252,328 = 252,328/x
  3. Step 3: Cross multiply
    122,357x = 252,328 × 252,328
  4. Step 4: Simplify right side
    122,357x = 63,669,419,584
  5. Step 5: Solve for x
    x = 63,669,419,584/122,357
  6. Step 6: Final answer
    x = 520,357.80

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.