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Finding the Third Proportional to 100,454.63 and 220,997.25

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Solution

The third proportional to 100,454.63 and 220,997.25 is: 486,187.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,454.63 : 220,997.25 = 220,997.25 : x
  2. Step 2: Convert to fraction form
    100,454.63/220,997.25 = 220,997.25/x
  3. Step 3: Cross multiply
    100,454.63x = 220,997.25 × 220,997.25
  4. Step 4: Simplify right side
    100,454.63x = 48,839,784,507.56
  5. Step 5: Solve for x
    x = 48,839,784,507.56/100,454.63
  6. Step 6: Final answer
    x = 486,187.52

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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.