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Finding the Third Proportional to 91,728 and 194,512

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Solution

The third proportional to 91,728 and 194,512 is: 412,468.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,728 : 194,512 = 194,512 : x
  2. Step 2: Convert to fraction form
    91,728/194,512 = 194,512/x
  3. Step 3: Cross multiply
    91,728x = 194,512 × 194,512
  4. Step 4: Simplify right side
    91,728x = 37,834,918,144
  5. Step 5: Solve for x
    x = 37,834,918,144/91,728
  6. Step 6: Final answer
    x = 412,468.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.