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Finding the Third Proportional to 99,676 and 218,036

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Solution

The third proportional to 99,676 and 218,036 is: 476,942.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,676 : 218,036 = 218,036 : x
  2. Step 2: Convert to fraction form
    99,676/218,036 = 218,036/x
  3. Step 3: Cross multiply
    99,676x = 218,036 × 218,036
  4. Step 4: Simplify right side
    99,676x = 47,539,697,296
  5. Step 5: Solve for x
    x = 47,539,697,296/99,676
  6. Step 6: Final answer
    x = 476,942.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.