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Finding the Third Proportional to 12.56 and 20.60

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Solution

The third proportional to 12.56 and 20.60 is: 33.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.56 : 20.60 = 20.60 : x
  2. Step 2: Convert to fraction form
    12.56/20.60 = 20.60/x
  3. Step 3: Cross multiply
    12.56x = 20.60 × 20.60
  4. Step 4: Simplify right side
    12.56x = 424.42
  5. Step 5: Solve for x
    x = 424.42/12.56
  6. Step 6: Final answer
    x = 33.79

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.