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Finding the Third Proportional to 19.80 and 30.64

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Solution

The third proportional to 19.80 and 30.64 is: 47.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.80 : 30.64 = 30.64 : x
  2. Step 2: Convert to fraction form
    19.80/30.64 = 30.64/x
  3. Step 3: Cross multiply
    19.80x = 30.64 × 30.64
  4. Step 4: Simplify right side
    19.80x = 938.85
  5. Step 5: Solve for x
    x = 938.85/19.80
  6. Step 6: Final answer
    x = 47.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.