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Finding the Third Proportional to 25 and 35.31

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Solution

The third proportional to 25 and 35.31 is: 49.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25 : 35.31 = 35.31 : x
  2. Step 2: Convert to fraction form
    25/35.31 = 35.31/x
  3. Step 3: Cross multiply
    25x = 35.31 × 35.31
  4. Step 4: Simplify right side
    25x = 1,246.97
  5. Step 5: Solve for x
    x = 1,246.97/25
  6. Step 6: Final answer
    x = 49.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.