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Finding the Third Proportional to 79.41 and 120.56

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Solution

The third proportional to 79.41 and 120.56 is: 183.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.41 : 120.56 = 120.56 : x
  2. Step 2: Convert to fraction form
    79.41/120.56 = 120.56/x
  3. Step 3: Cross multiply
    79.41x = 120.56 × 120.56
  4. Step 4: Simplify right side
    79.41x = 14,535.32
  5. Step 5: Solve for x
    x = 14,535.32/79.41
  6. Step 6: Final answer
    x = 183.05

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