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Finding the Third Proportional to 1.40 and 3.79

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Solution

The third proportional to 1.40 and 3.79 is: 10.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.40 : 3.79 = 3.79 : x
  2. Step 2: Convert to fraction form
    1.40/3.79 = 3.79/x
  3. Step 3: Cross multiply
    1.40x = 3.79 × 3.79
  4. Step 4: Simplify right side
    1.40x = 14.35
  5. Step 5: Solve for x
    x = 14.35/1.40
  6. Step 6: Final answer
    x = 10.22

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.