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Finding the Third Proportional to 10,216.13 and 20,690.44

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Solution

The third proportional to 10,216.13 and 20,690.44 is: 41,903.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,216.13 : 20,690.44 = 20,690.44 : x
  2. Step 2: Convert to fraction form
    10,216.13/20,690.44 = 20,690.44/x
  3. Step 3: Cross multiply
    10,216.13x = 20,690.44 × 20,690.44
  4. Step 4: Simplify right side
    10,216.13x = 428,094,203.94
  5. Step 5: Solve for x
    x = 428,094,203.94/10,216.13
  6. Step 6: Final answer
    x = 41,903.78

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.