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Finding the Third Proportional to 212,704 and 436,336

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Solution

The third proportional to 212,704 and 436,336 is: 895,089.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,704 : 436,336 = 436,336 : x
  2. Step 2: Convert to fraction form
    212,704/436,336 = 436,336/x
  3. Step 3: Cross multiply
    212,704x = 436,336 × 436,336
  4. Step 4: Simplify right side
    212,704x = 190,389,104,896
  5. Step 5: Solve for x
    x = 190,389,104,896/212,704
  6. Step 6: Final answer
    x = 895,089.44

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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.