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Finding the Third Proportional to 262.94 and 408.28

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Solution

The third proportional to 262.94 and 408.28 is: 633.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.94 : 408.28 = 408.28 : x
  2. Step 2: Convert to fraction form
    262.94/408.28 = 408.28/x
  3. Step 3: Cross multiply
    262.94x = 408.28 × 408.28
  4. Step 4: Simplify right side
    262.94x = 166,693.58
  5. Step 5: Solve for x
    x = 166,693.58/262.94
  6. Step 6: Final answer
    x = 633.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.