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Finding the Third Proportional to 203,578 and 434,206

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Solution

The third proportional to 203,578 and 434,206 is: 926,106.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,578 : 434,206 = 434,206 : x
  2. Step 2: Convert to fraction form
    203,578/434,206 = 434,206/x
  3. Step 3: Cross multiply
    203,578x = 434,206 × 434,206
  4. Step 4: Simplify right side
    203,578x = 188,534,850,436
  5. Step 5: Solve for x
    x = 188,534,850,436/203,578
  6. Step 6: Final answer
    x = 926,106.21

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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.