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Finding the Third Proportional to 216.42 and 481.99

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Solution

The third proportional to 216.42 and 481.99 is: 1,073.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.42 : 481.99 = 481.99 : x
  2. Step 2: Convert to fraction form
    216.42/481.99 = 481.99/x
  3. Step 3: Cross multiply
    216.42x = 481.99 × 481.99
  4. Step 4: Simplify right side
    216.42x = 232,316.47
  5. Step 5: Solve for x
    x = 232,316.47/216.42
  6. Step 6: Final answer
    x = 1,073.44

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.