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Finding the Third Proportional to 11.63 and 15.47

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Solution

The third proportional to 11.63 and 15.47 is: 20.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.63 : 15.47 = 15.47 : x
  2. Step 2: Convert to fraction form
    11.63/15.47 = 15.47/x
  3. Step 3: Cross multiply
    11.63x = 15.47 × 15.47
  4. Step 4: Simplify right side
    11.63x = 239.28
  5. Step 5: Solve for x
    x = 239.28/11.63
  6. Step 6: Final answer
    x = 20.58

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.