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Finding the Third Proportional to 8.12 and 16.68

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Solution

The third proportional to 8.12 and 16.68 is: 34.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.12 : 16.68 = 16.68 : x
  2. Step 2: Convert to fraction form
    8.12/16.68 = 16.68/x
  3. Step 3: Cross multiply
    8.12x = 16.68 × 16.68
  4. Step 4: Simplify right side
    8.12x = 278.14
  5. Step 5: Solve for x
    x = 278.14/8.12
  6. Step 6: Final answer
    x = 34.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.