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Finding the Third Proportional to 79.78 and 94.03

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Solution

The third proportional to 79.78 and 94.03 is: 110.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.78 : 94.03 = 94.03 : x
  2. Step 2: Convert to fraction form
    79.78/94.03 = 94.03/x
  3. Step 3: Cross multiply
    79.78x = 94.03 × 94.03
  4. Step 4: Simplify right side
    79.78x = 8,841.88
  5. Step 5: Solve for x
    x = 8,841.88/79.78
  6. Step 6: Final answer
    x = 110.83

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.