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Finding the Third Proportional to 19.83 and 30.16

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Solution

The third proportional to 19.83 and 30.16 is: 45.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.83 : 30.16 = 30.16 : x
  2. Step 2: Convert to fraction form
    19.83/30.16 = 30.16/x
  3. Step 3: Cross multiply
    19.83x = 30.16 × 30.16
  4. Step 4: Simplify right side
    19.83x = 909.87
  5. Step 5: Solve for x
    x = 909.87/19.83
  6. Step 6: Final answer
    x = 45.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.