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Finding the Third Proportional to 20.44 and 45.28

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Solution

The third proportional to 20.44 and 45.28 is: 100.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.44 : 45.28 = 45.28 : x
  2. Step 2: Convert to fraction form
    20.44/45.28 = 45.28/x
  3. Step 3: Cross multiply
    20.44x = 45.28 × 45.28
  4. Step 4: Simplify right side
    20.44x = 2,050.39
  5. Step 5: Solve for x
    x = 2,050.39/20.44
  6. Step 6: Final answer
    x = 100.32

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.