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Finding the Third Proportional to 168.88 and 262.38

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Solution

The third proportional to 168.88 and 262.38 is: 407.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.88 : 262.38 = 262.38 : x
  2. Step 2: Convert to fraction form
    168.88/262.38 = 262.38/x
  3. Step 3: Cross multiply
    168.88x = 262.38 × 262.38
  4. Step 4: Simplify right side
    168.88x = 68,840.64
  5. Step 5: Solve for x
    x = 68,840.64/168.88
  6. Step 6: Final answer
    x = 407.64

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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.