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Finding the Third Proportional to 10.99 and 28.18

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Solution

The third proportional to 10.99 and 28.18 is: 72.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.99 : 28.18 = 28.18 : x
  2. Step 2: Convert to fraction form
    10.99/28.18 = 28.18/x
  3. Step 3: Cross multiply
    10.99x = 28.18 × 28.18
  4. Step 4: Simplify right side
    10.99x = 794.31
  5. Step 5: Solve for x
    x = 794.31/10.99
  6. Step 6: Final answer
    x = 72.26

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.