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Finding the Third Proportional to 212.38 and 490.94

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Solution

The third proportional to 212.38 and 490.94 is: 1,134.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.38 : 490.94 = 490.94 : x
  2. Step 2: Convert to fraction form
    212.38/490.94 = 490.94/x
  3. Step 3: Cross multiply
    212.38x = 490.94 × 490.94
  4. Step 4: Simplify right side
    212.38x = 241,019.63
  5. Step 5: Solve for x
    x = 241,019.63/212.38
  6. Step 6: Final answer
    x = 1,134.88

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.