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Finding the Third Proportional to 221,211 and 332,911

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Solution

The third proportional to 221,211 and 332,911 is: 501,013.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,211 : 332,911 = 332,911 : x
  2. Step 2: Convert to fraction form
    221,211/332,911 = 332,911/x
  3. Step 3: Cross multiply
    221,211x = 332,911 × 332,911
  4. Step 4: Simplify right side
    221,211x = 110,829,733,921
  5. Step 5: Solve for x
    x = 110,829,733,921/221,211
  6. Step 6: Final answer
    x = 501,013.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.