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Finding the Third Proportional to 108.21 and 236.36

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Solution

The third proportional to 108.21 and 236.36 is: 516.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.21 : 236.36 = 236.36 : x
  2. Step 2: Convert to fraction form
    108.21/236.36 = 236.36/x
  3. Step 3: Cross multiply
    108.21x = 236.36 × 236.36
  4. Step 4: Simplify right side
    108.21x = 55,863.91
  5. Step 5: Solve for x
    x = 55,863.91/108.21
  6. Step 6: Final answer
    x = 516.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.