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Finding the Third Proportional to 1.28 and 3.48

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Solution

The third proportional to 1.28 and 3.48 is: 9.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.28 : 3.48 = 3.48 : x
  2. Step 2: Convert to fraction form
    1.28/3.48 = 3.48/x
  3. Step 3: Cross multiply
    1.28x = 3.48 × 3.48
  4. Step 4: Simplify right side
    1.28x = 12.11
  5. Step 5: Solve for x
    x = 12.11/1.28
  6. Step 6: Final answer
    x = 9.44

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.