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Finding the Third Proportional to 181,539 and 271,215

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Solution

The third proportional to 181,539 and 271,215 is: 405,188.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,539 : 271,215 = 271,215 : x
  2. Step 2: Convert to fraction form
    181,539/271,215 = 271,215/x
  3. Step 3: Cross multiply
    181,539x = 271,215 × 271,215
  4. Step 4: Simplify right side
    181,539x = 73,557,576,225
  5. Step 5: Solve for x
    x = 73,557,576,225/181,539
  6. Step 6: Final answer
    x = 405,188.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.