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Finding the Third Proportional to 91,745 and 129,198

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Solution

The third proportional to 91,745 and 129,198 is: 181,940.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,745 : 129,198 = 129,198 : x
  2. Step 2: Convert to fraction form
    91,745/129,198 = 129,198/x
  3. Step 3: Cross multiply
    91,745x = 129,198 × 129,198
  4. Step 4: Simplify right side
    91,745x = 16,692,123,204
  5. Step 5: Solve for x
    x = 16,692,123,204/91,745
  6. Step 6: Final answer
    x = 181,940.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.