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Finding the Third Proportional to 181,342 and 272,171

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Solution

The third proportional to 181,342 and 272,171 is: 408,493.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,342 : 272,171 = 272,171 : x
  2. Step 2: Convert to fraction form
    181,342/272,171 = 272,171/x
  3. Step 3: Cross multiply
    181,342x = 272,171 × 272,171
  4. Step 4: Simplify right side
    181,342x = 74,077,053,241
  5. Step 5: Solve for x
    x = 74,077,053,241/181,342
  6. Step 6: Final answer
    x = 408,493.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.