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Finding the Third Proportional to 197,019 and 408,052

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Solution

The third proportional to 197,019 and 408,052 is: 845,128.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,019 : 408,052 = 408,052 : x
  2. Step 2: Convert to fraction form
    197,019/408,052 = 408,052/x
  3. Step 3: Cross multiply
    197,019x = 408,052 × 408,052
  4. Step 4: Simplify right side
    197,019x = 166,506,434,704
  5. Step 5: Solve for x
    x = 166,506,434,704/197,019
  6. Step 6: Final answer
    x = 845,128.82

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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.