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Finding the Third Proportional to 25.82 and 40.15

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Solution

The third proportional to 25.82 and 40.15 is: 62.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.82 : 40.15 = 40.15 : x
  2. Step 2: Convert to fraction form
    25.82/40.15 = 40.15/x
  3. Step 3: Cross multiply
    25.82x = 40.15 × 40.15
  4. Step 4: Simplify right side
    25.82x = 1,611.90
  5. Step 5: Solve for x
    x = 1,611.90/25.82
  6. Step 6: Final answer
    x = 62.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.