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Finding the Third Proportional to 181,380 and 281,544

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Solution

The third proportional to 181,380 and 281,544 is: 437,021.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,380 : 281,544 = 281,544 : x
  2. Step 2: Convert to fraction form
    181,380/281,544 = 281,544/x
  3. Step 3: Cross multiply
    181,380x = 281,544 × 281,544
  4. Step 4: Simplify right side
    181,380x = 79,267,023,936
  5. Step 5: Solve for x
    x = 79,267,023,936/181,380
  6. Step 6: Final answer
    x = 437,021.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.