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Finding the Third Proportional to 59.44 and 79.78

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Solution

The third proportional to 59.44 and 79.78 is: 107.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.44 : 79.78 = 79.78 : x
  2. Step 2: Convert to fraction form
    59.44/79.78 = 79.78/x
  3. Step 3: Cross multiply
    59.44x = 79.78 × 79.78
  4. Step 4: Simplify right side
    59.44x = 6,365.05
  5. Step 5: Solve for x
    x = 6,365.05/59.44
  6. Step 6: Final answer
    x = 107.09

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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.