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Finding the Third Proportional to 10.68 and 15.22

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Solution

The third proportional to 10.68 and 15.22 is: 21.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.68 : 15.22 = 15.22 : x
  2. Step 2: Convert to fraction form
    10.68/15.22 = 15.22/x
  3. Step 3: Cross multiply
    10.68x = 15.22 × 15.22
  4. Step 4: Simplify right side
    10.68x = 231.56
  5. Step 5: Solve for x
    x = 231.56/10.68
  6. Step 6: Final answer
    x = 21.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.