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Finding the Third Proportional to 201,082 and 281,255

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Solution

The third proportional to 201,082 and 281,255 is: 393,393.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,082 : 281,255 = 281,255 : x
  2. Step 2: Convert to fraction form
    201,082/281,255 = 281,255/x
  3. Step 3: Cross multiply
    201,082x = 281,255 × 281,255
  4. Step 4: Simplify right side
    201,082x = 79,104,375,025
  5. Step 5: Solve for x
    x = 79,104,375,025/201,082
  6. Step 6: Final answer
    x = 393,393.62

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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.