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Finding the Third Proportional to 78.03 and 168.06

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Solution

The third proportional to 78.03 and 168.06 is: 361.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.03 : 168.06 = 168.06 : x
  2. Step 2: Convert to fraction form
    78.03/168.06 = 168.06/x
  3. Step 3: Cross multiply
    78.03x = 168.06 × 168.06
  4. Step 4: Simplify right side
    78.03x = 28,245.00
  5. Step 5: Solve for x
    x = 28,245.00/78.03
  6. Step 6: Final answer
    x = 361.97

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.