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Finding the Third Proportional to 20.02 and 43.64

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Solution

The third proportional to 20.02 and 43.64 is: 95.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.02 : 43.64 = 43.64 : x
  2. Step 2: Convert to fraction form
    20.02/43.64 = 43.64/x
  3. Step 3: Cross multiply
    20.02x = 43.64 × 43.64
  4. Step 4: Simplify right side
    20.02x = 1,904.50
  5. Step 5: Solve for x
    x = 1,904.50/20.02
  6. Step 6: Final answer
    x = 95.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.