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Finding the Third Proportional to 94,544 and 204,832

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Solution

The third proportional to 94,544 and 204,832 is: 443,773.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,544 : 204,832 = 204,832 : x
  2. Step 2: Convert to fraction form
    94,544/204,832 = 204,832/x
  3. Step 3: Cross multiply
    94,544x = 204,832 × 204,832
  4. Step 4: Simplify right side
    94,544x = 41,956,148,224
  5. Step 5: Solve for x
    x = 41,956,148,224/94,544
  6. Step 6: Final answer
    x = 443,773.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.