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Finding the Third Proportional to 216.11 and 322.42

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Solution

The third proportional to 216.11 and 322.42 is: 481.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.11 : 322.42 = 322.42 : x
  2. Step 2: Convert to fraction form
    216.11/322.42 = 322.42/x
  3. Step 3: Cross multiply
    216.11x = 322.42 × 322.42
  4. Step 4: Simplify right side
    216.11x = 103,953.35
  5. Step 5: Solve for x
    x = 103,953.35/216.11
  6. Step 6: Final answer
    x = 481.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.