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Finding the Third Proportional to 4.19 and 8.23

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Solution

The third proportional to 4.19 and 8.23 is: 16.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.19 : 8.23 = 8.23 : x
  2. Step 2: Convert to fraction form
    4.19/8.23 = 8.23/x
  3. Step 3: Cross multiply
    4.19x = 8.23 × 8.23
  4. Step 4: Simplify right side
    4.19x = 67.68
  5. Step 5: Solve for x
    x = 67.68/4.19
  6. Step 6: Final answer
    x = 16.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.