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Finding the Third Proportional to 1.78 and 2.39

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Solution

The third proportional to 1.78 and 2.39 is: 3.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.78 : 2.39 = 2.39 : x
  2. Step 2: Convert to fraction form
    1.78/2.39 = 2.39/x
  3. Step 3: Cross multiply
    1.78x = 2.39 × 2.39
  4. Step 4: Simplify right side
    1.78x = 5.72
  5. Step 5: Solve for x
    x = 5.72/1.78
  6. Step 6: Final answer
    x = 3.21

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.