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Finding the Third Proportional to 3.55 and 7.64

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Solution

The third proportional to 3.55 and 7.64 is: 16.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.55 : 7.64 = 7.64 : x
  2. Step 2: Convert to fraction form
    3.55/7.64 = 7.64/x
  3. Step 3: Cross multiply
    3.55x = 7.64 × 7.64
  4. Step 4: Simplify right side
    3.55x = 58.33
  5. Step 5: Solve for x
    x = 58.33/3.55
  6. Step 6: Final answer
    x = 16.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.