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Finding the Third Proportional to 181,417 and 394,321

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Solution

The third proportional to 181,417 and 394,321 is: 857,080.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,417 : 394,321 = 394,321 : x
  2. Step 2: Convert to fraction form
    181,417/394,321 = 394,321/x
  3. Step 3: Cross multiply
    181,417x = 394,321 × 394,321
  4. Step 4: Simplify right side
    181,417x = 155,489,051,041
  5. Step 5: Solve for x
    x = 155,489,051,041/181,417
  6. Step 6: Final answer
    x = 857,080.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.