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Finding the Third Proportional to 208.78 and 231.84

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Solution

The third proportional to 208.78 and 231.84 is: 257.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.78 : 231.84 = 231.84 : x
  2. Step 2: Convert to fraction form
    208.78/231.84 = 231.84/x
  3. Step 3: Cross multiply
    208.78x = 231.84 × 231.84
  4. Step 4: Simplify right side
    208.78x = 53,751.52
  5. Step 5: Solve for x
    x = 53,751.52/208.78
  6. Step 6: Final answer
    x = 257.45

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.