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Finding the Third Proportional to 10.75 and 14.46

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Solution

The third proportional to 10.75 and 14.46 is: 19.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.75 : 14.46 = 14.46 : x
  2. Step 2: Convert to fraction form
    10.75/14.46 = 14.46/x
  3. Step 3: Cross multiply
    10.75x = 14.46 × 14.46
  4. Step 4: Simplify right side
    10.75x = 209.04
  5. Step 5: Solve for x
    x = 209.04/10.75
  6. Step 6: Final answer
    x = 19.44

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.