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Finding the Third Proportional to 8.21 and 18.01

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Solution

The third proportional to 8.21 and 18.01 is: 39.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.21 : 18.01 = 18.01 : x
  2. Step 2: Convert to fraction form
    8.21/18.01 = 18.01/x
  3. Step 3: Cross multiply
    8.21x = 18.01 × 18.01
  4. Step 4: Simplify right side
    8.21x = 324.42
  5. Step 5: Solve for x
    x = 324.42/8.21
  6. Step 6: Final answer
    x = 39.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.