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Finding the Third Proportional to 8.23 and 18.35

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Solution

The third proportional to 8.23 and 18.35 is: 40.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.23 : 18.35 = 18.35 : x
  2. Step 2: Convert to fraction form
    8.23/18.35 = 18.35/x
  3. Step 3: Cross multiply
    8.23x = 18.35 × 18.35
  4. Step 4: Simplify right side
    8.23x = 336.78
  5. Step 5: Solve for x
    x = 336.78/8.23
  6. Step 6: Final answer
    x = 40.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.