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Finding the Third Proportional to 208.27 and 316.90

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Solution

The third proportional to 208.27 and 316.90 is: 482.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.27 : 316.90 = 316.90 : x
  2. Step 2: Convert to fraction form
    208.27/316.90 = 316.90/x
  3. Step 3: Cross multiply
    208.27x = 316.90 × 316.90
  4. Step 4: Simplify right side
    208.27x = 100,424.62
  5. Step 5: Solve for x
    x = 100,424.62/208.27
  6. Step 6: Final answer
    x = 482.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.