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Finding the Third Proportional to 152.72 and 333.28

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Solution

The third proportional to 152.72 and 333.28 is: 727.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.72 : 333.28 = 333.28 : x
  2. Step 2: Convert to fraction form
    152.72/333.28 = 333.28/x
  3. Step 3: Cross multiply
    152.72x = 333.28 × 333.28
  4. Step 4: Simplify right side
    152.72x = 111,076.39
  5. Step 5: Solve for x
    x = 111,076.39/152.72
  6. Step 6: Final answer
    x = 727.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.