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Finding the Third Proportional to 153.75 and 334.31

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Solution

The third proportional to 153.75 and 334.31 is: 726.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.75 : 334.31 = 334.31 : x
  2. Step 2: Convert to fraction form
    153.75/334.31 = 334.31/x
  3. Step 3: Cross multiply
    153.75x = 334.31 × 334.31
  4. Step 4: Simplify right side
    153.75x = 111,764.85
  5. Step 5: Solve for x
    x = 111,764.85/153.75
  6. Step 6: Final answer
    x = 726.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.