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Finding the Third Proportional to 252,920 and 339,396

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Solution

The third proportional to 252,920 and 339,396 is: 455,439.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,920 : 339,396 = 339,396 : x
  2. Step 2: Convert to fraction form
    252,920/339,396 = 339,396/x
  3. Step 3: Cross multiply
    252,920x = 339,396 × 339,396
  4. Step 4: Simplify right side
    252,920x = 115,189,644,816
  5. Step 5: Solve for x
    x = 115,189,644,816/252,920
  6. Step 6: Final answer
    x = 455,439.05

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.