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Finding the Third Proportional to 154.41 and 230.91

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Solution

The third proportional to 154.41 and 230.91 is: 345.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.41 : 230.91 = 230.91 : x
  2. Step 2: Convert to fraction form
    154.41/230.91 = 230.91/x
  3. Step 3: Cross multiply
    154.41x = 230.91 × 230.91
  4. Step 4: Simplify right side
    154.41x = 53,317.70
  5. Step 5: Solve for x
    x = 53,317.70/154.41
  6. Step 6: Final answer
    x = 345.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.