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Finding the Third Proportional to 218.19 and 310.97

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Solution

The third proportional to 218.19 and 310.97 is: 443.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.19 : 310.97 = 310.97 : x
  2. Step 2: Convert to fraction form
    218.19/310.97 = 310.97/x
  3. Step 3: Cross multiply
    218.19x = 310.97 × 310.97
  4. Step 4: Simplify right side
    218.19x = 96,701.56
  5. Step 5: Solve for x
    x = 96,701.56/218.19
  6. Step 6: Final answer
    x = 443.20

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.