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Finding the Third Proportional to 216.07 and 324.67

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Solution

The third proportional to 216.07 and 324.67 is: 487.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.07 : 324.67 = 324.67 : x
  2. Step 2: Convert to fraction form
    216.07/324.67 = 324.67/x
  3. Step 3: Cross multiply
    216.07x = 324.67 × 324.67
  4. Step 4: Simplify right side
    216.07x = 105,409.29
  5. Step 5: Solve for x
    x = 105,409.29/216.07
  6. Step 6: Final answer
    x = 487.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.