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Finding the Third Proportional to 247,150 and 511,790

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Solution

The third proportional to 247,150 and 511,790 is: 1,059,797.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,150 : 511,790 = 511,790 : x
  2. Step 2: Convert to fraction form
    247,150/511,790 = 511,790/x
  3. Step 3: Cross multiply
    247,150x = 511,790 × 511,790
  4. Step 4: Simplify right side
    247,150x = 261,929,004,100
  5. Step 5: Solve for x
    x = 261,929,004,100/247,150
  6. Step 6: Final answer
    x = 1,059,797.71

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.