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Finding the Third Proportional to 100,285 and 220,252

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Solution

The third proportional to 100,285 and 220,252 is: 483,730.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,285 : 220,252 = 220,252 : x
  2. Step 2: Convert to fraction form
    100,285/220,252 = 220,252/x
  3. Step 3: Cross multiply
    100,285x = 220,252 × 220,252
  4. Step 4: Simplify right side
    100,285x = 48,510,943,504
  5. Step 5: Solve for x
    x = 48,510,943,504/100,285
  6. Step 6: Final answer
    x = 483,730.80

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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.