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Finding the Third Proportional to 102.94 and 212.41

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Solution

The third proportional to 102.94 and 212.41 is: 438.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.94 : 212.41 = 212.41 : x
  2. Step 2: Convert to fraction form
    102.94/212.41 = 212.41/x
  3. Step 3: Cross multiply
    102.94x = 212.41 × 212.41
  4. Step 4: Simplify right side
    102.94x = 45,119.73
  5. Step 5: Solve for x
    x = 45,119.73/102.94
  6. Step 6: Final answer
    x = 438.32

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.