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Finding the Third Proportional to 11.71 and 26.42

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Solution

The third proportional to 11.71 and 26.42 is: 59.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.71 : 26.42 = 26.42 : x
  2. Step 2: Convert to fraction form
    11.71/26.42 = 26.42/x
  3. Step 3: Cross multiply
    11.71x = 26.42 × 26.42
  4. Step 4: Simplify right side
    11.71x = 698.01
  5. Step 5: Solve for x
    x = 698.01/11.71
  6. Step 6: Final answer
    x = 59.62

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.