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Finding the Third Proportional to 108.95 and 239.41

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Solution

The third proportional to 108.95 and 239.41 is: 526.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.95 : 239.41 = 239.41 : x
  2. Step 2: Convert to fraction form
    108.95/239.41 = 239.41/x
  3. Step 3: Cross multiply
    108.95x = 239.41 × 239.41
  4. Step 4: Simplify right side
    108.95x = 57,319.09
  5. Step 5: Solve for x
    x = 57,319.09/108.95
  6. Step 6: Final answer
    x = 526.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.