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Finding the Third Proportional to 108.12 and 154.97

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Solution

The third proportional to 108.12 and 154.97 is: 222.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.12 : 154.97 = 154.97 : x
  2. Step 2: Convert to fraction form
    108.12/154.97 = 154.97/x
  3. Step 3: Cross multiply
    108.12x = 154.97 × 154.97
  4. Step 4: Simplify right side
    108.12x = 24,017.19
  5. Step 5: Solve for x
    x = 24,017.19/108.12
  6. Step 6: Final answer
    x = 222.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.