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Finding the Third Proportional to 50.98 and 110.32

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Solution

The third proportional to 50.98 and 110.32 is: 238.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.98 : 110.32 = 110.32 : x
  2. Step 2: Convert to fraction form
    50.98/110.32 = 110.32/x
  3. Step 3: Cross multiply
    50.98x = 110.32 × 110.32
  4. Step 4: Simplify right side
    50.98x = 12,170.57
  5. Step 5: Solve for x
    x = 12,170.57/50.98
  6. Step 6: Final answer
    x = 238.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.