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Finding the Third Proportional to 3.07 and 7.88

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Solution

The third proportional to 3.07 and 7.88 is: 20.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.07 : 7.88 = 7.88 : x
  2. Step 2: Convert to fraction form
    3.07/7.88 = 7.88/x
  3. Step 3: Cross multiply
    3.07x = 7.88 × 7.88
  4. Step 4: Simplify right side
    3.07x = 62.06
  5. Step 5: Solve for x
    x = 62.06/3.07
  6. Step 6: Final answer
    x = 20.24

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.