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Finding the Third Proportional to 133,497 and 180,198

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Solution

The third proportional to 133,497 and 180,198 is: 243,236.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,497 : 180,198 = 180,198 : x
  2. Step 2: Convert to fraction form
    133,497/180,198 = 180,198/x
  3. Step 3: Cross multiply
    133,497x = 180,198 × 180,198
  4. Step 4: Simplify right side
    133,497x = 32,471,319,204
  5. Step 5: Solve for x
    x = 32,471,319,204/133,497
  6. Step 6: Final answer
    x = 243,236.32

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.