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Finding the Third Proportional to 1.37 and 3.78

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Solution

The third proportional to 1.37 and 3.78 is: 10.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.37 : 3.78 = 3.78 : x
  2. Step 2: Convert to fraction form
    1.37/3.78 = 3.78/x
  3. Step 3: Cross multiply
    1.37x = 3.78 × 3.78
  4. Step 4: Simplify right side
    1.37x = 14.25
  5. Step 5: Solve for x
    x = 14.25/1.37
  6. Step 6: Final answer
    x = 10.38

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Why These Related Problems?

These problems maintain the same ratio (2.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.