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Finding the Third Proportional to 212,708 and 436,344

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Solution

The third proportional to 212,708 and 436,344 is: 895,105.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,708 : 436,344 = 436,344 : x
  2. Step 2: Convert to fraction form
    212,708/436,344 = 436,344/x
  3. Step 3: Cross multiply
    212,708x = 436,344 × 436,344
  4. Step 4: Simplify right side
    212,708x = 190,396,086,336
  5. Step 5: Solve for x
    x = 190,396,086,336/212,708
  6. Step 6: Final answer
    x = 895,105.43

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.