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Finding the Third Proportional to 252,716 and 394,278

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Solution

The third proportional to 252,716 and 394,278 is: 615,137.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,716 : 394,278 = 394,278 : x
  2. Step 2: Convert to fraction form
    252,716/394,278 = 394,278/x
  3. Step 3: Cross multiply
    252,716x = 394,278 × 394,278
  4. Step 4: Simplify right side
    252,716x = 155,455,141,284
  5. Step 5: Solve for x
    x = 155,455,141,284/252,716
  6. Step 6: Final answer
    x = 615,137.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.