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Finding the Third Proportional to 216.88 and 331.69

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Solution

The third proportional to 216.88 and 331.69 is: 507.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.88 : 331.69 = 331.69 : x
  2. Step 2: Convert to fraction form
    216.88/331.69 = 331.69/x
  3. Step 3: Cross multiply
    216.88x = 331.69 × 331.69
  4. Step 4: Simplify right side
    216.88x = 110,016.60
  5. Step 5: Solve for x
    x = 110,016.60/216.88
  6. Step 6: Final answer
    x = 507.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.