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Finding the Third Proportional to 11.00 and 15.64

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Solution

The third proportional to 11.00 and 15.64 is: 22.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.00 : 15.64 = 15.64 : x
  2. Step 2: Convert to fraction form
    11.00/15.64 = 15.64/x
  3. Step 3: Cross multiply
    11.00x = 15.64 × 15.64
  4. Step 4: Simplify right side
    11.00x = 244.53
  5. Step 5: Solve for x
    x = 244.53/11.00
  6. Step 6: Final answer
    x = 22.22

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.