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Finding the Third Proportional to 196,149 and 419,270

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Solution

The third proportional to 196,149 and 419,270 is: 896,192.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,149 : 419,270 = 419,270 : x
  2. Step 2: Convert to fraction form
    196,149/419,270 = 419,270/x
  3. Step 3: Cross multiply
    196,149x = 419,270 × 419,270
  4. Step 4: Simplify right side
    196,149x = 175,787,332,900
  5. Step 5: Solve for x
    x = 175,787,332,900/196,149
  6. Step 6: Final answer
    x = 896,192.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.