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Finding the Third Proportional to 218.69 and 313.69

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Solution

The third proportional to 218.69 and 313.69 is: 449.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.69 : 313.69 = 313.69 : x
  2. Step 2: Convert to fraction form
    218.69/313.69 = 313.69/x
  3. Step 3: Cross multiply
    218.69x = 313.69 × 313.69
  4. Step 4: Simplify right side
    218.69x = 98,399.85
  5. Step 5: Solve for x
    x = 98,399.85/218.69
  6. Step 6: Final answer
    x = 449.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.