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Finding the Third Proportional to 12.98 and 20.30

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Solution

The third proportional to 12.98 and 20.30 is: 31.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.98 : 20.30 = 20.30 : x
  2. Step 2: Convert to fraction form
    12.98/20.30 = 20.30/x
  3. Step 3: Cross multiply
    12.98x = 20.30 × 20.30
  4. Step 4: Simplify right side
    12.98x = 411.96
  5. Step 5: Solve for x
    x = 411.96/12.98
  6. Step 6: Final answer
    x = 31.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.