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Finding the Third Proportional to 144 and 334.88

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Solution

The third proportional to 144 and 334.88 is: 778.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    144 : 334.88 = 334.88 : x
  2. Step 2: Convert to fraction form
    144/334.88 = 334.88/x
  3. Step 3: Cross multiply
    144x = 334.88 × 334.88
  4. Step 4: Simplify right side
    144x = 112,141.27
  5. Step 5: Solve for x
    x = 112,141.27/144
  6. Step 6: Final answer
    x = 778.76

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.