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Finding the Third Proportional to 154.75 and 333.13

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Solution

The third proportional to 154.75 and 333.13 is: 717.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.75 : 333.13 = 333.13 : x
  2. Step 2: Convert to fraction form
    154.75/333.13 = 333.13/x
  3. Step 3: Cross multiply
    154.75x = 333.13 × 333.13
  4. Step 4: Simplify right side
    154.75x = 110,972.27
  5. Step 5: Solve for x
    x = 110,972.27/154.75
  6. Step 6: Final answer
    x = 717.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.