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Finding the Third Proportional to 10,200.94 and 22,452.19

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Solution

The third proportional to 10,200.94 and 22,452.19 is: 49,417.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.94 : 22,452.19 = 22,452.19 : x
  2. Step 2: Convert to fraction form
    10,200.94/22,452.19 = 22,452.19/x
  3. Step 3: Cross multiply
    10,200.94x = 22,452.19 × 22,452.19
  4. Step 4: Simplify right side
    10,200.94x = 504,100,723.54
  5. Step 5: Solve for x
    x = 504,100,723.54/10,200.94
  6. Step 6: Final answer
    x = 49,417.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.