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Finding the Third Proportional to 196,252 and 311,266

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Solution

The third proportional to 196,252 and 311,266 is: 493,684.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,252 : 311,266 = 311,266 : x
  2. Step 2: Convert to fraction form
    196,252/311,266 = 311,266/x
  3. Step 3: Cross multiply
    196,252x = 311,266 × 311,266
  4. Step 4: Simplify right side
    196,252x = 96,886,522,756
  5. Step 5: Solve for x
    x = 96,886,522,756/196,252
  6. Step 6: Final answer
    x = 493,684.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.