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Finding the Third Proportional to 15.26 and 31.95

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Solution

The third proportional to 15.26 and 31.95 is: 66.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.26 : 31.95 = 31.95 : x
  2. Step 2: Convert to fraction form
    15.26/31.95 = 31.95/x
  3. Step 3: Cross multiply
    15.26x = 31.95 × 31.95
  4. Step 4: Simplify right side
    15.26x = 1,020.50
  5. Step 5: Solve for x
    x = 1,020.50/15.26
  6. Step 6: Final answer
    x = 66.88

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.