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Finding the Third Proportional to 154.41 and 333.47

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Solution

The third proportional to 154.41 and 333.47 is: 720.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.41 : 333.47 = 333.47 : x
  2. Step 2: Convert to fraction form
    154.41/333.47 = 333.47/x
  3. Step 3: Cross multiply
    154.41x = 333.47 × 333.47
  4. Step 4: Simplify right side
    154.41x = 111,201.41
  5. Step 5: Solve for x
    x = 111,201.41/154.41
  6. Step 6: Final answer
    x = 720.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.