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Finding the Third Proportional to 109.88 and 231.94

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Solution

The third proportional to 109.88 and 231.94 is: 489.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.88 : 231.94 = 231.94 : x
  2. Step 2: Convert to fraction form
    109.88/231.94 = 231.94/x
  3. Step 3: Cross multiply
    109.88x = 231.94 × 231.94
  4. Step 4: Simplify right side
    109.88x = 53,795.00
  5. Step 5: Solve for x
    x = 53,795.00/109.88
  6. Step 6: Final answer
    x = 489.60

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.