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Finding the Third Proportional to 201,083 and 281,257

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Solution

The third proportional to 201,083 and 281,257 is: 393,397.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,083 : 281,257 = 281,257 : x
  2. Step 2: Convert to fraction form
    201,083/281,257 = 281,257/x
  3. Step 3: Cross multiply
    201,083x = 281,257 × 281,257
  4. Step 4: Simplify right side
    201,083x = 79,105,500,049
  5. Step 5: Solve for x
    x = 79,105,500,049/201,083
  6. Step 6: Final answer
    x = 393,397.25

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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.