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Finding the Third Proportional to 104,520.38 and 223,797.94

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Solution

The third proportional to 104,520.38 and 223,797.94 is: 479,193.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,520.38 : 223,797.94 = 223,797.94 : x
  2. Step 2: Convert to fraction form
    104,520.38/223,797.94 = 223,797.94/x
  3. Step 3: Cross multiply
    104,520.38x = 223,797.94 × 223,797.94
  4. Step 4: Simplify right side
    104,520.38x = 50,085,516,829.25
  5. Step 5: Solve for x
    x = 50,085,516,829.25/104,520.38
  6. Step 6: Final answer
    x = 479,193.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.