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Finding the Third Proportional to 201,168 and 281,916

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Solution

The third proportional to 201,168 and 281,916 is: 395,075.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,168 : 281,916 = 281,916 : x
  2. Step 2: Convert to fraction form
    201,168/281,916 = 281,916/x
  3. Step 3: Cross multiply
    201,168x = 281,916 × 281,916
  4. Step 4: Simplify right side
    201,168x = 79,476,631,056
  5. Step 5: Solve for x
    x = 79,476,631,056/201,168
  6. Step 6: Final answer
    x = 395,075.91

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.