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Finding the Third Proportional to 107.25 and 216.69

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Solution

The third proportional to 107.25 and 216.69 is: 437.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.25 : 216.69 = 216.69 : x
  2. Step 2: Convert to fraction form
    107.25/216.69 = 216.69/x
  3. Step 3: Cross multiply
    107.25x = 216.69 × 216.69
  4. Step 4: Simplify right side
    107.25x = 46,953.47
  5. Step 5: Solve for x
    x = 46,953.47/107.25
  6. Step 6: Final answer
    x = 437.79

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.