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Finding the Third Proportional to 99,218.25 and 218,190.38

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Solution

The third proportional to 99,218.25 and 218,190.38 is: 479,821.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,218.25 : 218,190.38 = 218,190.38 : x
  2. Step 2: Convert to fraction form
    99,218.25/218,190.38 = 218,190.38/x
  3. Step 3: Cross multiply
    99,218.25x = 218,190.38 × 218,190.38
  4. Step 4: Simplify right side
    99,218.25x = 47,607,039,742.64
  5. Step 5: Solve for x
    x = 47,607,039,742.64/99,218.25
  6. Step 6: Final answer
    x = 479,821.40

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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.