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Finding the Third Proportional to 70.75 and 107.28

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Solution

The third proportional to 70.75 and 107.28 is: 162.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.75 : 107.28 = 107.28 : x
  2. Step 2: Convert to fraction form
    70.75/107.28 = 107.28/x
  3. Step 3: Cross multiply
    70.75x = 107.28 × 107.28
  4. Step 4: Simplify right side
    70.75x = 11,509.27
  5. Step 5: Solve for x
    x = 11,509.27/70.75
  6. Step 6: Final answer
    x = 162.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.