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Finding the Third Proportional to 212 and 404

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Solution

The third proportional to 212 and 404 is: 769.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    212 : 404 = 404 : x
  2. Step 2: Convert to fraction form
    212/404 = 404/x
  3. Step 3: Cross multiply
    212x = 404 × 404
  4. Step 4: Simplify right side
    212x = 163,216
  5. Step 5: Solve for x
    x = 163,216/212
  6. Step 6: Final answer
    x = 769.89

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.