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Finding the Third Proportional to 143.44 and 313.41

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Solution

The third proportional to 143.44 and 313.41 is: 684.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.44 : 313.41 = 313.41 : x
  2. Step 2: Convert to fraction form
    143.44/313.41 = 313.41/x
  3. Step 3: Cross multiply
    143.44x = 313.41 × 313.41
  4. Step 4: Simplify right side
    143.44x = 98,223.48
  5. Step 5: Solve for x
    x = 98,223.48/143.44
  6. Step 6: Final answer
    x = 684.78

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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.