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Finding the Third Proportional to 11.36 and 15.59

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Solution

The third proportional to 11.36 and 15.59 is: 21.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.36 : 15.59 = 15.59 : x
  2. Step 2: Convert to fraction form
    11.36/15.59 = 15.59/x
  3. Step 3: Cross multiply
    11.36x = 15.59 × 15.59
  4. Step 4: Simplify right side
    11.36x = 242.99
  5. Step 5: Solve for x
    x = 242.99/11.36
  6. Step 6: Final answer
    x = 21.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.