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Finding the Third Proportional to 206,046 and 434,601

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Solution

The third proportional to 206,046 and 434,601 is: 916,678.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,046 : 434,601 = 434,601 : x
  2. Step 2: Convert to fraction form
    206,046/434,601 = 434,601/x
  3. Step 3: Cross multiply
    206,046x = 434,601 × 434,601
  4. Step 4: Simplify right side
    206,046x = 188,878,029,201
  5. Step 5: Solve for x
    x = 188,878,029,201/206,046
  6. Step 6: Final answer
    x = 916,678.94

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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.