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Finding the Third Proportional to 201,717 and 274,087

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Solution

The third proportional to 201,717 and 274,087 is: 372,421.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,717 : 274,087 = 274,087 : x
  2. Step 2: Convert to fraction form
    201,717/274,087 = 274,087/x
  3. Step 3: Cross multiply
    201,717x = 274,087 × 274,087
  4. Step 4: Simplify right side
    201,717x = 75,123,683,569
  5. Step 5: Solve for x
    x = 75,123,683,569/201,717
  6. Step 6: Final answer
    x = 372,421.18

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.