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Finding the Third Proportional to 252,803 and 394,757

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Solution

The third proportional to 252,803 and 394,757 is: 616,421.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,803 : 394,757 = 394,757 : x
  2. Step 2: Convert to fraction form
    252,803/394,757 = 394,757/x
  3. Step 3: Cross multiply
    252,803x = 394,757 × 394,757
  4. Step 4: Simplify right side
    252,803x = 155,833,089,049
  5. Step 5: Solve for x
    x = 155,833,089,049/252,803
  6. Step 6: Final answer
    x = 616,421.04

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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.