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Finding the Third Proportional to 20.75 and 30.63

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Solution

The third proportional to 20.75 and 30.63 is: 45.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.75 : 30.63 = 30.63 : x
  2. Step 2: Convert to fraction form
    20.75/30.63 = 30.63/x
  3. Step 3: Cross multiply
    20.75x = 30.63 × 30.63
  4. Step 4: Simplify right side
    20.75x = 937.89
  5. Step 5: Solve for x
    x = 937.89/20.75
  6. Step 6: Final answer
    x = 45.20

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.