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Finding the Third Proportional to 201,132 and 397,188

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Solution

The third proportional to 201,132 and 397,188 is: 784,352.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,132 : 397,188 = 397,188 : x
  2. Step 2: Convert to fraction form
    201,132/397,188 = 397,188/x
  3. Step 3: Cross multiply
    201,132x = 397,188 × 397,188
  4. Step 4: Simplify right side
    201,132x = 157,758,307,344
  5. Step 5: Solve for x
    x = 157,758,307,344/201,132
  6. Step 6: Final answer
    x = 784,352.10

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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.