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Finding the Third Proportional to 216.75 and 421.69

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Solution

The third proportional to 216.75 and 421.69 is: 820.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.75 : 421.69 = 421.69 : x
  2. Step 2: Convert to fraction form
    216.75/421.69 = 421.69/x
  3. Step 3: Cross multiply
    216.75x = 421.69 × 421.69
  4. Step 4: Simplify right side
    216.75x = 177,820.35
  5. Step 5: Solve for x
    x = 177,820.35/216.75
  6. Step 6: Final answer
    x = 820.39

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.