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Finding the Third Proportional to 133,078 and 194,425

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Solution

The third proportional to 133,078 and 194,425 is: 284,052.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,078 : 194,425 = 194,425 : x
  2. Step 2: Convert to fraction form
    133,078/194,425 = 194,425/x
  3. Step 3: Cross multiply
    133,078x = 194,425 × 194,425
  4. Step 4: Simplify right side
    133,078x = 37,801,080,625
  5. Step 5: Solve for x
    x = 37,801,080,625/133,078
  6. Step 6: Final answer
    x = 284,052.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.