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Finding the Third Proportional to 16.69 and 25.64

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Solution

The third proportional to 16.69 and 25.64 is: 39.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.69 : 25.64 = 25.64 : x
  2. Step 2: Convert to fraction form
    16.69/25.64 = 25.64/x
  3. Step 3: Cross multiply
    16.69x = 25.64 × 25.64
  4. Step 4: Simplify right side
    16.69x = 657.44
  5. Step 5: Solve for x
    x = 657.44/16.69
  6. Step 6: Final answer
    x = 39.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.