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Finding the Third Proportional to 109.75 and 155.88

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Solution

The third proportional to 109.75 and 155.88 is: 221.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.75 : 155.88 = 155.88 : x
  2. Step 2: Convert to fraction form
    109.75/155.88 = 155.88/x
  3. Step 3: Cross multiply
    109.75x = 155.88 × 155.88
  4. Step 4: Simplify right side
    109.75x = 24,297.02
  5. Step 5: Solve for x
    x = 24,297.02/109.75
  6. Step 6: Final answer
    x = 221.39

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.