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Finding the Third Proportional to 203,603 and 434,247

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Solution

The third proportional to 203,603 and 434,247 is: 926,167.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,603 : 434,247 = 434,247 : x
  2. Step 2: Convert to fraction form
    203,603/434,247 = 434,247/x
  3. Step 3: Cross multiply
    203,603x = 434,247 × 434,247
  4. Step 4: Simplify right side
    203,603x = 188,570,457,009
  5. Step 5: Solve for x
    x = 188,570,457,009/203,603
  6. Step 6: Final answer
    x = 926,167.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.