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Finding the Third Proportional to 9.75 and 11.63

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Solution

The third proportional to 9.75 and 11.63 is: 13.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.75 : 11.63 = 11.63 : x
  2. Step 2: Convert to fraction form
    9.75/11.63 = 11.63/x
  3. Step 3: Cross multiply
    9.75x = 11.63 × 11.63
  4. Step 4: Simplify right side
    9.75x = 135.14
  5. Step 5: Solve for x
    x = 135.14/9.75
  6. Step 6: Final answer
    x = 13.86

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.