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Finding the Third Proportional to 219.25 and 386.75

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Solution

The third proportional to 219.25 and 386.75 is: 682.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.25 : 386.75 = 386.75 : x
  2. Step 2: Convert to fraction form
    219.25/386.75 = 386.75/x
  3. Step 3: Cross multiply
    219.25x = 386.75 × 386.75
  4. Step 4: Simplify right side
    219.25x = 149,575.56
  5. Step 5: Solve for x
    x = 149,575.56/219.25
  6. Step 6: Final answer
    x = 682.21

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.