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Finding the Third Proportional to 7.55 and 16.78

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Solution

The third proportional to 7.55 and 16.78 is: 37.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.55 : 16.78 = 16.78 : x
  2. Step 2: Convert to fraction form
    7.55/16.78 = 16.78/x
  3. Step 3: Cross multiply
    7.55x = 16.78 × 16.78
  4. Step 4: Simplify right side
    7.55x = 281.62
  5. Step 5: Solve for x
    x = 281.62/7.55
  6. Step 6: Final answer
    x = 37.32

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.