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Finding the Third Proportional to 213 and 436

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Solution

The third proportional to 213 and 436 is: 892.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    213 : 436 = 436 : x
  2. Step 2: Convert to fraction form
    213/436 = 436/x
  3. Step 3: Cross multiply
    213x = 436 × 436
  4. Step 4: Simplify right side
    213x = 190,096
  5. Step 5: Solve for x
    x = 190,096/213
  6. Step 6: Final answer
    x = 892.47

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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.