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Finding the Third Proportional to 252,714 and 394,275

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Solution

The third proportional to 252,714 and 394,275 is: 615,133.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,714 : 394,275 = 394,275 : x
  2. Step 2: Convert to fraction form
    252,714/394,275 = 394,275/x
  3. Step 3: Cross multiply
    252,714x = 394,275 × 394,275
  4. Step 4: Simplify right side
    252,714x = 155,452,775,625
  5. Step 5: Solve for x
    x = 155,452,775,625/252,714
  6. Step 6: Final answer
    x = 615,133.22

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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.