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Finding the Third Proportional to 78.26 and 119.23

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Solution

The third proportional to 78.26 and 119.23 is: 181.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.26 : 119.23 = 119.23 : x
  2. Step 2: Convert to fraction form
    78.26/119.23 = 119.23/x
  3. Step 3: Cross multiply
    78.26x = 119.23 × 119.23
  4. Step 4: Simplify right side
    78.26x = 14,216.37
  5. Step 5: Solve for x
    x = 14,216.37/78.26
  6. Step 6: Final answer
    x = 181.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.