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Finding the Third Proportional to 122,890.50 and 220,205.25

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Solution

The third proportional to 122,890.50 and 220,205.25 is: 394,581.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,890.50 : 220,205.25 = 220,205.25 : x
  2. Step 2: Convert to fraction form
    122,890.50/220,205.25 = 220,205.25/x
  3. Step 3: Cross multiply
    122,890.50x = 220,205.25 × 220,205.25
  4. Step 4: Simplify right side
    122,890.50x = 48,490,352,127.56
  5. Step 5: Solve for x
    x = 48,490,352,127.56/122,890.50
  6. Step 6: Final answer
    x = 394,581.78

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.