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Finding the Third Proportional to 16.17 and 25.17

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Solution

The third proportional to 16.17 and 25.17 is: 39.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.17 : 25.17 = 25.17 : x
  2. Step 2: Convert to fraction form
    16.17/25.17 = 25.17/x
  3. Step 3: Cross multiply
    16.17x = 25.17 × 25.17
  4. Step 4: Simplify right side
    16.17x = 633.62
  5. Step 5: Solve for x
    x = 633.62/16.17
  6. Step 6: Final answer
    x = 39.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.