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Finding the Third Proportional to 10.75 and 16.50

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Solution

The third proportional to 10.75 and 16.50 is: 25.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.75 : 16.50 = 16.50 : x
  2. Step 2: Convert to fraction form
    10.75/16.50 = 16.50/x
  3. Step 3: Cross multiply
    10.75x = 16.50 × 16.50
  4. Step 4: Simplify right side
    10.75x = 272.25
  5. Step 5: Solve for x
    x = 272.25/10.75
  6. Step 6: Final answer
    x = 25.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.