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Finding the Third Proportional to 222,903.50 and 434,645

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Solution

The third proportional to 222,903.50 and 434,645 is: 847,524.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,903.50 : 434,645 = 434,645 : x
  2. Step 2: Convert to fraction form
    222,903.50/434,645 = 434,645/x
  3. Step 3: Cross multiply
    222,903.50x = 434,645 × 434,645
  4. Step 4: Simplify right side
    222,903.50x = 188,916,276,025
  5. Step 5: Solve for x
    x = 188,916,276,025/222,903.50
  6. Step 6: Final answer
    x = 847,524.94

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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.