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Finding the Third Proportional to 196,530 and 311,697

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Solution

The third proportional to 196,530 and 311,697 is: 494,352.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,530 : 311,697 = 311,697 : x
  2. Step 2: Convert to fraction form
    196,530/311,697 = 311,697/x
  3. Step 3: Cross multiply
    196,530x = 311,697 × 311,697
  4. Step 4: Simplify right side
    196,530x = 97,155,019,809
  5. Step 5: Solve for x
    x = 97,155,019,809/196,530
  6. Step 6: Final answer
    x = 494,352.11

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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.