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Finding the Third Proportional to 212.88 and 447.31

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Solution

The third proportional to 212.88 and 447.31 is: 939.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.88 : 447.31 = 447.31 : x
  2. Step 2: Convert to fraction form
    212.88/447.31 = 447.31/x
  3. Step 3: Cross multiply
    212.88x = 447.31 × 447.31
  4. Step 4: Simplify right side
    212.88x = 200,088.47
  5. Step 5: Solve for x
    x = 200,088.47/212.88
  6. Step 6: Final answer
    x = 939.93

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.