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Finding the Third Proportional to 12.83 and 20.53

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Solution

The third proportional to 12.83 and 20.53 is: 32.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.83 : 20.53 = 20.53 : x
  2. Step 2: Convert to fraction form
    12.83/20.53 = 20.53/x
  3. Step 3: Cross multiply
    12.83x = 20.53 × 20.53
  4. Step 4: Simplify right side
    12.83x = 421.33
  5. Step 5: Solve for x
    x = 421.33/12.83
  6. Step 6: Final answer
    x = 32.84

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.