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Finding the Third Proportional to 168,842 and 394,457

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Solution

The third proportional to 168,842 and 394,457 is: 921,549.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,842 : 394,457 = 394,457 : x
  2. Step 2: Convert to fraction form
    168,842/394,457 = 394,457/x
  3. Step 3: Cross multiply
    168,842x = 394,457 × 394,457
  4. Step 4: Simplify right side
    168,842x = 155,596,324,849
  5. Step 5: Solve for x
    x = 155,596,324,849/168,842
  6. Step 6: Final answer
    x = 921,549.88

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.