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Finding the Third Proportional to 10.36 and 11.46

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Solution

The third proportional to 10.36 and 11.46 is: 12.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.36 : 11.46 = 11.46 : x
  2. Step 2: Convert to fraction form
    10.36/11.46 = 11.46/x
  3. Step 3: Cross multiply
    10.36x = 11.46 × 11.46
  4. Step 4: Simplify right side
    10.36x = 131.35
  5. Step 5: Solve for x
    x = 131.35/10.36
  6. Step 6: Final answer
    x = 12.68

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.