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Finding the Third Proportional to 69.75 and 107.50

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Solution

The third proportional to 69.75 and 107.50 is: 165.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.75 : 107.50 = 107.50 : x
  2. Step 2: Convert to fraction form
    69.75/107.50 = 107.50/x
  3. Step 3: Cross multiply
    69.75x = 107.50 × 107.50
  4. Step 4: Simplify right side
    69.75x = 11,556.25
  5. Step 5: Solve for x
    x = 11,556.25/69.75
  6. Step 6: Final answer
    x = 165.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.