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Finding the Third Proportional to 36.26 and 78.54

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Solution

The third proportional to 36.26 and 78.54 is: 170.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.26 : 78.54 = 78.54 : x
  2. Step 2: Convert to fraction form
    36.26/78.54 = 78.54/x
  3. Step 3: Cross multiply
    36.26x = 78.54 × 78.54
  4. Step 4: Simplify right side
    36.26x = 6,168.38
  5. Step 5: Solve for x
    x = 6,168.38/36.26
  6. Step 6: Final answer
    x = 170.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.