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Finding the Third Proportional to 10.99 and 23.71

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Solution

The third proportional to 10.99 and 23.71 is: 51.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.99 : 23.71 = 23.71 : x
  2. Step 2: Convert to fraction form
    10.99/23.71 = 23.71/x
  3. Step 3: Cross multiply
    10.99x = 23.71 × 23.71
  4. Step 4: Simplify right side
    10.99x = 562.14
  5. Step 5: Solve for x
    x = 562.14/10.99
  6. Step 6: Final answer
    x = 51.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.