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Finding the Third Proportional to 212.63 and 321.19

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Solution

The third proportional to 212.63 and 321.19 is: 485.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.63 : 321.19 = 321.19 : x
  2. Step 2: Convert to fraction form
    212.63/321.19 = 321.19/x
  3. Step 3: Cross multiply
    212.63x = 321.19 × 321.19
  4. Step 4: Simplify right side
    212.63x = 103,161.41
  5. Step 5: Solve for x
    x = 103,161.41/212.63
  6. Step 6: Final answer
    x = 485.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.