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Finding the Third Proportional to 25.69 and 42.97

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Solution

The third proportional to 25.69 and 42.97 is: 71.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.69 : 42.97 = 42.97 : x
  2. Step 2: Convert to fraction form
    25.69/42.97 = 42.97/x
  3. Step 3: Cross multiply
    25.69x = 42.97 × 42.97
  4. Step 4: Simplify right side
    25.69x = 1,846.31
  5. Step 5: Solve for x
    x = 1,846.31/25.69
  6. Step 6: Final answer
    x = 71.88

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.