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Finding the Third Proportional to 19.83 and 30.27

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Solution

The third proportional to 19.83 and 30.27 is: 46.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.83 : 30.27 = 30.27 : x
  2. Step 2: Convert to fraction form
    19.83/30.27 = 30.27/x
  3. Step 3: Cross multiply
    19.83x = 30.27 × 30.27
  4. Step 4: Simplify right side
    19.83x = 916.24
  5. Step 5: Solve for x
    x = 916.24/19.83
  6. Step 6: Final answer
    x = 46.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.