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Finding the Third Proportional to 181,278 and 272,079

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Solution

The third proportional to 181,278 and 272,079 is: 408,361.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,278 : 272,079 = 272,079 : x
  2. Step 2: Convert to fraction form
    181,278/272,079 = 272,079/x
  3. Step 3: Cross multiply
    181,278x = 272,079 × 272,079
  4. Step 4: Simplify right side
    181,278x = 74,026,982,241
  5. Step 5: Solve for x
    x = 74,026,982,241/181,278
  6. Step 6: Final answer
    x = 408,361.64

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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.