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Finding the Third Proportional to 197,061.75 and 408,138.75

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Solution

The third proportional to 197,061.75 and 408,138.75 is: 845,304.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,061.75 : 408,138.75 = 408,138.75 : x
  2. Step 2: Convert to fraction form
    197,061.75/408,138.75 = 408,138.75/x
  3. Step 3: Cross multiply
    197,061.75x = 408,138.75 × 408,138.75
  4. Step 4: Simplify right side
    197,061.75x = 166,577,239,251.56
  5. Step 5: Solve for x
    x = 166,577,239,251.56/197,061.75
  6. Step 6: Final answer
    x = 845,304.78

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.