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Finding the Third Proportional to 10.86 and 23.73

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Solution

The third proportional to 10.86 and 23.73 is: 51.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.86 : 23.73 = 23.73 : x
  2. Step 2: Convert to fraction form
    10.86/23.73 = 23.73/x
  3. Step 3: Cross multiply
    10.86x = 23.73 × 23.73
  4. Step 4: Simplify right side
    10.86x = 563.14
  5. Step 5: Solve for x
    x = 563.14/10.86
  6. Step 6: Final answer
    x = 51.84

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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.