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Finding the Third Proportional to 2.39 and 3.46

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Solution

The third proportional to 2.39 and 3.46 is: 5.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.39 : 3.46 = 3.46 : x
  2. Step 2: Convert to fraction form
    2.39/3.46 = 3.46/x
  3. Step 3: Cross multiply
    2.39x = 3.46 × 3.46
  4. Step 4: Simplify right side
    2.39x = 11.95
  5. Step 5: Solve for x
    x = 11.95/2.39
  6. Step 6: Final answer
    x = 5.00

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.