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Finding the Third Proportional to 222,899 and 434,635

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Solution

The third proportional to 222,899 and 434,635 is: 847,503.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,899 : 434,635 = 434,635 : x
  2. Step 2: Convert to fraction form
    222,899/434,635 = 434,635/x
  3. Step 3: Cross multiply
    222,899x = 434,635 × 434,635
  4. Step 4: Simplify right side
    222,899x = 188,907,583,225
  5. Step 5: Solve for x
    x = 188,907,583,225/222,899
  6. Step 6: Final answer
    x = 847,503.05

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.