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Finding the Third Proportional to 16.55 and 25.18

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Solution

The third proportional to 16.55 and 25.18 is: 38.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.55 : 25.18 = 25.18 : x
  2. Step 2: Convert to fraction form
    16.55/25.18 = 25.18/x
  3. Step 3: Cross multiply
    16.55x = 25.18 × 25.18
  4. Step 4: Simplify right side
    16.55x = 634.23
  5. Step 5: Solve for x
    x = 634.23/16.55
  6. Step 6: Final answer
    x = 38.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.