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Finding the Third Proportional to 91,986 and 197,100

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Solution

The third proportional to 91,986 and 197,100 is: 422,329.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,986 : 197,100 = 197,100 : x
  2. Step 2: Convert to fraction form
    91,986/197,100 = 197,100/x
  3. Step 3: Cross multiply
    91,986x = 197,100 × 197,100
  4. Step 4: Simplify right side
    91,986x = 38,848,410,000
  5. Step 5: Solve for x
    x = 38,848,410,000/91,986
  6. Step 6: Final answer
    x = 422,329.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.