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Finding the Third Proportional to 208.51 and 291.73

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Solution

The third proportional to 208.51 and 291.73 is: 408.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.51 : 291.73 = 291.73 : x
  2. Step 2: Convert to fraction form
    208.51/291.73 = 291.73/x
  3. Step 3: Cross multiply
    208.51x = 291.73 × 291.73
  4. Step 4: Simplify right side
    208.51x = 85,104.39
  5. Step 5: Solve for x
    x = 85,104.39/208.51
  6. Step 6: Final answer
    x = 408.15

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.