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Finding the Third Proportional to 19.83 and 50.84

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Solution

The third proportional to 19.83 and 50.84 is: 130.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.83 : 50.84 = 50.84 : x
  2. Step 2: Convert to fraction form
    19.83/50.84 = 50.84/x
  3. Step 3: Cross multiply
    19.83x = 50.84 × 50.84
  4. Step 4: Simplify right side
    19.83x = 2,584.29
  5. Step 5: Solve for x
    x = 2,584.29/19.83
  6. Step 6: Final answer
    x = 130.33

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.