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Finding the Third Proportional to 201,912 and 311,293

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Solution

The third proportional to 201,912 and 311,293 is: 479,928.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,912 : 311,293 = 311,293 : x
  2. Step 2: Convert to fraction form
    201,912/311,293 = 311,293/x
  3. Step 3: Cross multiply
    201,912x = 311,293 × 311,293
  4. Step 4: Simplify right side
    201,912x = 96,903,331,849
  5. Step 5: Solve for x
    x = 96,903,331,849/201,912
  6. Step 6: Final answer
    x = 479,928.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.