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Finding the Third Proportional to 252,540 and 557,568

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Solution

The third proportional to 252,540 and 557,568 is: 1,231,021.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,540 : 557,568 = 557,568 : x
  2. Step 2: Convert to fraction form
    252,540/557,568 = 557,568/x
  3. Step 3: Cross multiply
    252,540x = 557,568 × 557,568
  4. Step 4: Simplify right side
    252,540x = 310,882,074,624
  5. Step 5: Solve for x
    x = 310,882,074,624/252,540
  6. Step 6: Final answer
    x = 1,231,021.12

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.