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Finding the Third Proportional to 197,057.81 and 408,128.63

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Solution

The third proportional to 197,057.81 and 408,128.63 is: 845,279.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,057.81 : 408,128.63 = 408,128.63 : x
  2. Step 2: Convert to fraction form
    197,057.81/408,128.63 = 408,128.63/x
  3. Step 3: Cross multiply
    197,057.81x = 408,128.63 × 408,128.63
  4. Step 4: Simplify right side
    197,057.81x = 166,568,974,544.39
  5. Step 5: Solve for x
    x = 166,568,974,544.39/197,057.81
  6. Step 6: Final answer
    x = 845,279.73

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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.