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Finding the Third Proportional to 10.75 and 23.75

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Solution

The third proportional to 10.75 and 23.75 is: 52.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.75 : 23.75 = 23.75 : x
  2. Step 2: Convert to fraction form
    10.75/23.75 = 23.75/x
  3. Step 3: Cross multiply
    10.75x = 23.75 × 23.75
  4. Step 4: Simplify right side
    10.75x = 564.06
  5. Step 5: Solve for x
    x = 564.06/10.75
  6. Step 6: Final answer
    x = 52.47

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.