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Finding the Third Proportional to 10.81 and 23.69

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Solution

The third proportional to 10.81 and 23.69 is: 51.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.81 : 23.69 = 23.69 : x
  2. Step 2: Convert to fraction form
    10.81/23.69 = 23.69/x
  3. Step 3: Cross multiply
    10.81x = 23.69 × 23.69
  4. Step 4: Simplify right side
    10.81x = 561.10
  5. Step 5: Solve for x
    x = 561.10/10.81
  6. Step 6: Final answer
    x = 51.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.