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Finding the Third Proportional to 78.23 and 169.92

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Solution

The third proportional to 78.23 and 169.92 is: 369.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.23 : 169.92 = 169.92 : x
  2. Step 2: Convert to fraction form
    78.23/169.92 = 169.92/x
  3. Step 3: Cross multiply
    78.23x = 169.92 × 169.92
  4. Step 4: Simplify right side
    78.23x = 28,873.44
  5. Step 5: Solve for x
    x = 28,873.44/78.23
  6. Step 6: Final answer
    x = 369.06

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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.