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Finding the Third Proportional to 133,296 and 200,328

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Solution

The third proportional to 133,296 and 200,328 is: 301,069.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,296 : 200,328 = 200,328 : x
  2. Step 2: Convert to fraction form
    133,296/200,328 = 200,328/x
  3. Step 3: Cross multiply
    133,296x = 200,328 × 200,328
  4. Step 4: Simplify right side
    133,296x = 40,131,307,584
  5. Step 5: Solve for x
    x = 40,131,307,584/133,296
  6. Step 6: Final answer
    x = 301,069.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.