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Finding the Third Proportional to 7.88 and 20.69

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Solution

The third proportional to 7.88 and 20.69 is: 54.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.88 : 20.69 = 20.69 : x
  2. Step 2: Convert to fraction form
    7.88/20.69 = 20.69/x
  3. Step 3: Cross multiply
    7.88x = 20.69 × 20.69
  4. Step 4: Simplify right side
    7.88x = 427.97
  5. Step 5: Solve for x
    x = 427.97/7.88
  6. Step 6: Final answer
    x = 54.35

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.