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Finding the Third Proportional to 220,380.75 and 494,680.50

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Solution

The third proportional to 220,380.75 and 494,680.50 is: 1,110,390.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,380.75 : 494,680.50 = 494,680.50 : x
  2. Step 2: Convert to fraction form
    220,380.75/494,680.50 = 494,680.50/x
  3. Step 3: Cross multiply
    220,380.75x = 494,680.50 × 494,680.50
  4. Step 4: Simplify right side
    220,380.75x = 244,708,797,080.25
  5. Step 5: Solve for x
    x = 244,708,797,080.25/220,380.75
  6. Step 6: Final answer
    x = 1,110,390.98

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.