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Finding the Third Proportional to 78.26 and 104.52

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Solution

The third proportional to 78.26 and 104.52 is: 139.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.26 : 104.52 = 104.52 : x
  2. Step 2: Convert to fraction form
    78.26/104.52 = 104.52/x
  3. Step 3: Cross multiply
    78.26x = 104.52 × 104.52
  4. Step 4: Simplify right side
    78.26x = 10,924.33
  5. Step 5: Solve for x
    x = 10,924.33/78.26
  6. Step 6: Final answer
    x = 139.59

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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.