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Finding the Third Proportional to 13.05 and 19.81

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Solution

The third proportional to 13.05 and 19.81 is: 30.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.05 : 19.81 = 19.81 : x
  2. Step 2: Convert to fraction form
    13.05/19.81 = 19.81/x
  3. Step 3: Cross multiply
    13.05x = 19.81 × 19.81
  4. Step 4: Simplify right side
    13.05x = 392.63
  5. Step 5: Solve for x
    x = 392.63/13.05
  6. Step 6: Final answer
    x = 30.08

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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.