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Finding the Third Proportional to 114.98 and 154.97

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Solution

The third proportional to 114.98 and 154.97 is: 208.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.98 : 154.97 = 154.97 : x
  2. Step 2: Convert to fraction form
    114.98/154.97 = 154.97/x
  3. Step 3: Cross multiply
    114.98x = 154.97 × 154.97
  4. Step 4: Simplify right side
    114.98x = 24,015.31
  5. Step 5: Solve for x
    x = 24,015.31/114.98
  6. Step 6: Final answer
    x = 208.86

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.