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Finding the Third Proportional to 120.71 and 218.16

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Solution

The third proportional to 120.71 and 218.16 is: 394.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.71 : 218.16 = 218.16 : x
  2. Step 2: Convert to fraction form
    120.71/218.16 = 218.16/x
  3. Step 3: Cross multiply
    120.71x = 218.16 × 218.16
  4. Step 4: Simplify right side
    120.71x = 47,594.71
  5. Step 5: Solve for x
    x = 47,594.71/120.71
  6. Step 6: Final answer
    x = 394.29

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.