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Finding the Third Proportional to 25.86 and 30.45

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Solution

The third proportional to 25.86 and 30.45 is: 35.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.86 : 30.45 = 30.45 : x
  2. Step 2: Convert to fraction form
    25.86/30.45 = 30.45/x
  3. Step 3: Cross multiply
    25.86x = 30.45 × 30.45
  4. Step 4: Simplify right side
    25.86x = 926.95
  5. Step 5: Solve for x
    x = 926.95/25.86
  6. Step 6: Final answer
    x = 35.85

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.