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Finding the Third Proportional to 109.58 and 231.29

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Solution

The third proportional to 109.58 and 231.29 is: 488.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.58 : 231.29 = 231.29 : x
  2. Step 2: Convert to fraction form
    109.58/231.29 = 231.29/x
  3. Step 3: Cross multiply
    109.58x = 231.29 × 231.29
  4. Step 4: Simplify right side
    109.58x = 53,496.44
  5. Step 5: Solve for x
    x = 53,496.44/109.58
  6. Step 6: Final answer
    x = 488.19

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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.