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Finding the Third Proportional to 80,832 and 190,543

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Solution

The third proportional to 80,832 and 190,543 is: 449,161.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,832 : 190,543 = 190,543 : x
  2. Step 2: Convert to fraction form
    80,832/190,543 = 190,543/x
  3. Step 3: Cross multiply
    80,832x = 190,543 × 190,543
  4. Step 4: Simplify right side
    80,832x = 36,306,634,849
  5. Step 5: Solve for x
    x = 36,306,634,849/80,832
  6. Step 6: Final answer
    x = 449,161.65

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.