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Finding the Third Proportional to 201,198 and 301,821

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Solution

The third proportional to 201,198 and 301,821 is: 452,767.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,198 : 301,821 = 301,821 : x
  2. Step 2: Convert to fraction form
    201,198/301,821 = 301,821/x
  3. Step 3: Cross multiply
    201,198x = 301,821 × 301,821
  4. Step 4: Simplify right side
    201,198x = 91,095,916,041
  5. Step 5: Solve for x
    x = 91,095,916,041/201,198
  6. Step 6: Final answer
    x = 452,767.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.