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Finding the Third Proportional to 10.85 and 23.60

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Solution

The third proportional to 10.85 and 23.60 is: 51.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.85 : 23.60 = 23.60 : x
  2. Step 2: Convert to fraction form
    10.85/23.60 = 23.60/x
  3. Step 3: Cross multiply
    10.85x = 23.60 × 23.60
  4. Step 4: Simplify right side
    10.85x = 556.73
  5. Step 5: Solve for x
    x = 556.73/10.85
  6. Step 6: Final answer
    x = 51.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.