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Finding the Third Proportional to 102.72 and 212.19

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Solution

The third proportional to 102.72 and 212.19 is: 438.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.72 : 212.19 = 212.19 : x
  2. Step 2: Convert to fraction form
    102.72/212.19 = 212.19/x
  3. Step 3: Cross multiply
    102.72x = 212.19 × 212.19
  4. Step 4: Simplify right side
    102.72x = 45,023.54
  5. Step 5: Solve for x
    x = 45,023.54/102.72
  6. Step 6: Final answer
    x = 438.32

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.