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Finding the Third Proportional to 122,288 and 252,433

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Solution

The third proportional to 122,288 and 252,433 is: 521,084.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,288 : 252,433 = 252,433 : x
  2. Step 2: Convert to fraction form
    122,288/252,433 = 252,433/x
  3. Step 3: Cross multiply
    122,288x = 252,433 × 252,433
  4. Step 4: Simplify right side
    122,288x = 63,722,419,489
  5. Step 5: Solve for x
    x = 63,722,419,489/122,288
  6. Step 6: Final answer
    x = 521,084.81

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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.