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Finding the Third Proportional to 396,800 and 567,201

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Solution

The third proportional to 396,800 and 567,201 is: 810,778.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,800 : 567,201 = 567,201 : x
  2. Step 2: Convert to fraction form
    396,800/567,201 = 567,201/x
  3. Step 3: Cross multiply
    396,800x = 567,201 × 567,201
  4. Step 4: Simplify right side
    396,800x = 321,716,974,401
  5. Step 5: Solve for x
    x = 321,716,974,401/396,800
  6. Step 6: Final answer
    x = 810,778.67

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.