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Finding the Third Proportional to 212.44 and 310.72

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Solution

The third proportional to 212.44 and 310.72 is: 454.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.44 : 310.72 = 310.72 : x
  2. Step 2: Convert to fraction form
    212.44/310.72 = 310.72/x
  3. Step 3: Cross multiply
    212.44x = 310.72 × 310.72
  4. Step 4: Simplify right side
    212.44x = 96,546.14
  5. Step 5: Solve for x
    x = 96,546.14/212.44
  6. Step 6: Final answer
    x = 454.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.