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Finding the Third Proportional to 201,144.75 and 397,156

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Solution

The third proportional to 201,144.75 and 397,156 is: 784,176.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,144.75 : 397,156 = 397,156 : x
  2. Step 2: Convert to fraction form
    201,144.75/397,156 = 397,156/x
  3. Step 3: Cross multiply
    201,144.75x = 397,156 × 397,156
  4. Step 4: Simplify right side
    201,144.75x = 157,732,888,336
  5. Step 5: Solve for x
    x = 157,732,888,336/201,144.75
  6. Step 6: Final answer
    x = 784,176.01

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.