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Finding the Third Proportional to 18.79 and 30.53

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Solution

The third proportional to 18.79 and 30.53 is: 49.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.79 : 30.53 = 30.53 : x
  2. Step 2: Convert to fraction form
    18.79/30.53 = 30.53/x
  3. Step 3: Cross multiply
    18.79x = 30.53 × 30.53
  4. Step 4: Simplify right side
    18.79x = 931.92
  5. Step 5: Solve for x
    x = 931.92/18.79
  6. Step 6: Final answer
    x = 49.61

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.