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Finding the Third Proportional to 132,880 and 194,204

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Solution

The third proportional to 132,880 and 194,204 is: 283,828.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,880 : 194,204 = 194,204 : x
  2. Step 2: Convert to fraction form
    132,880/194,204 = 194,204/x
  3. Step 3: Cross multiply
    132,880x = 194,204 × 194,204
  4. Step 4: Simplify right side
    132,880x = 37,715,193,616
  5. Step 5: Solve for x
    x = 37,715,193,616/132,880
  6. Step 6: Final answer
    x = 283,828.97

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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.