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Finding the Third Proportional to 20.64 and 44.65

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Solution

The third proportional to 20.64 and 44.65 is: 96.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.64 : 44.65 = 44.65 : x
  2. Step 2: Convert to fraction form
    20.64/44.65 = 44.65/x
  3. Step 3: Cross multiply
    20.64x = 44.65 × 44.65
  4. Step 4: Simplify right side
    20.64x = 1,993.48
  5. Step 5: Solve for x
    x = 1,993.48/20.64
  6. Step 6: Final answer
    x = 96.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.