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Finding the Third Proportional to 133,648 and 196,100

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Solution

The third proportional to 133,648 and 196,100 is: 287,735.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,648 : 196,100 = 196,100 : x
  2. Step 2: Convert to fraction form
    133,648/196,100 = 196,100/x
  3. Step 3: Cross multiply
    133,648x = 196,100 × 196,100
  4. Step 4: Simplify right side
    133,648x = 38,455,210,000
  5. Step 5: Solve for x
    x = 38,455,210,000/133,648
  6. Step 6: Final answer
    x = 287,735.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.