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Finding the Third Proportional to 8.16 and 17.56

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Solution

The third proportional to 8.16 and 17.56 is: 37.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.16 : 17.56 = 17.56 : x
  2. Step 2: Convert to fraction form
    8.16/17.56 = 17.56/x
  3. Step 3: Cross multiply
    8.16x = 17.56 × 17.56
  4. Step 4: Simplify right side
    8.16x = 308.44
  5. Step 5: Solve for x
    x = 308.44/8.16
  6. Step 6: Final answer
    x = 37.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.