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Finding the Third Proportional to 13.50 and 31.08

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Solution

The third proportional to 13.50 and 31.08 is: 71.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.50 : 31.08 = 31.08 : x
  2. Step 2: Convert to fraction form
    13.50/31.08 = 31.08/x
  3. Step 3: Cross multiply
    13.50x = 31.08 × 31.08
  4. Step 4: Simplify right side
    13.50x = 965.85
  5. Step 5: Solve for x
    x = 965.85/13.50
  6. Step 6: Final answer
    x = 71.54

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.