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Finding the Third Proportional to 122,268 and 252,396

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Solution

The third proportional to 122,268 and 252,396 is: 521,017.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,268 : 252,396 = 252,396 : x
  2. Step 2: Convert to fraction form
    122,268/252,396 = 252,396/x
  3. Step 3: Cross multiply
    122,268x = 252,396 × 252,396
  4. Step 4: Simplify right side
    122,268x = 63,703,740,816
  5. Step 5: Solve for x
    x = 63,703,740,816/122,268
  6. Step 6: Final answer
    x = 521,017.28

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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.