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Finding the Third Proportional to 13.15 and 19.35

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Solution

The third proportional to 13.15 and 19.35 is: 28.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.15 : 19.35 = 19.35 : x
  2. Step 2: Convert to fraction form
    13.15/19.35 = 19.35/x
  3. Step 3: Cross multiply
    13.15x = 19.35 × 19.35
  4. Step 4: Simplify right side
    13.15x = 374.53
  5. Step 5: Solve for x
    x = 374.53/13.15
  6. Step 6: Final answer
    x = 28.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.