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Finding the Third Proportional to 211.94 and 316.81

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Solution

The third proportional to 211.94 and 316.81 is: 473.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.94 : 316.81 = 316.81 : x
  2. Step 2: Convert to fraction form
    211.94/316.81 = 316.81/x
  3. Step 3: Cross multiply
    211.94x = 316.81 × 316.81
  4. Step 4: Simplify right side
    211.94x = 100,370.16
  5. Step 5: Solve for x
    x = 100,370.16/211.94
  6. Step 6: Final answer
    x = 473.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.