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Finding the Third Proportional to 206,104 and 434,348

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Solution

The third proportional to 206,104 and 434,348 is: 915,354.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,104 : 434,348 = 434,348 : x
  2. Step 2: Convert to fraction form
    206,104/434,348 = 434,348/x
  3. Step 3: Cross multiply
    206,104x = 434,348 × 434,348
  4. Step 4: Simplify right side
    206,104x = 188,658,185,104
  5. Step 5: Solve for x
    x = 188,658,185,104/206,104
  6. Step 6: Final answer
    x = 915,354.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.