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Finding the Third Proportional to 10.22 and 12.53

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Solution

The third proportional to 10.22 and 12.53 is: 15.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.22 : 12.53 = 12.53 : x
  2. Step 2: Convert to fraction form
    10.22/12.53 = 12.53/x
  3. Step 3: Cross multiply
    10.22x = 12.53 × 12.53
  4. Step 4: Simplify right side
    10.22x = 157.03
  5. Step 5: Solve for x
    x = 157.03/10.22
  6. Step 6: Final answer
    x = 15.37

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.