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Finding the Third Proportional to 20.10 and 30.98

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Solution

The third proportional to 20.10 and 30.98 is: 47.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.10 : 30.98 = 30.98 : x
  2. Step 2: Convert to fraction form
    20.10/30.98 = 30.98/x
  3. Step 3: Cross multiply
    20.10x = 30.98 × 30.98
  4. Step 4: Simplify right side
    20.10x = 959.53
  5. Step 5: Solve for x
    x = 959.53/20.10
  6. Step 6: Final answer
    x = 47.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.