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Finding the Third Proportional to 218.32 and 324.63

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Solution

The third proportional to 218.32 and 324.63 is: 482.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.32 : 324.63 = 324.63 : x
  2. Step 2: Convert to fraction form
    218.32/324.63 = 324.63/x
  3. Step 3: Cross multiply
    218.32x = 324.63 × 324.63
  4. Step 4: Simplify right side
    218.32x = 105,386.46
  5. Step 5: Solve for x
    x = 105,386.46/218.32
  6. Step 6: Final answer
    x = 482.71

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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.