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Finding the Third Proportional to 197,066 and 408,145

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Solution

The third proportional to 197,066 and 408,145 is: 845,312.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,066 : 408,145 = 408,145 : x
  2. Step 2: Convert to fraction form
    197,066/408,145 = 408,145/x
  3. Step 3: Cross multiply
    197,066x = 408,145 × 408,145
  4. Step 4: Simplify right side
    197,066x = 166,582,341,025
  5. Step 5: Solve for x
    x = 166,582,341,025/197,066
  6. Step 6: Final answer
    x = 845,312.44

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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.