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Finding the Third Proportional to 154.70 and 231.27

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Solution

The third proportional to 154.70 and 231.27 is: 345.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.70 : 231.27 = 231.27 : x
  2. Step 2: Convert to fraction form
    154.70/231.27 = 231.27/x
  3. Step 3: Cross multiply
    154.70x = 231.27 × 231.27
  4. Step 4: Simplify right side
    154.70x = 53,487.29
  5. Step 5: Solve for x
    x = 53,487.29/154.70
  6. Step 6: Final answer
    x = 345.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.