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Finding the Third Proportional to 110.21 and 235.09

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Solution

The third proportional to 110.21 and 235.09 is: 501.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.21 : 235.09 = 235.09 : x
  2. Step 2: Convert to fraction form
    110.21/235.09 = 235.09/x
  3. Step 3: Cross multiply
    110.21x = 235.09 × 235.09
  4. Step 4: Simplify right side
    110.21x = 55,267.23
  5. Step 5: Solve for x
    x = 55,267.23/110.21
  6. Step 6: Final answer
    x = 501.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.