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Finding the Third Proportional to 4.21 and 8.96

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Solution

The third proportional to 4.21 and 8.96 is: 19.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.21 : 8.96 = 8.96 : x
  2. Step 2: Convert to fraction form
    4.21/8.96 = 8.96/x
  3. Step 3: Cross multiply
    4.21x = 8.96 × 8.96
  4. Step 4: Simplify right side
    4.21x = 80.29
  5. Step 5: Solve for x
    x = 80.29/4.21
  6. Step 6: Final answer
    x = 19.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.