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Finding the Third Proportional to 99,754 and 219,188

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Solution

The third proportional to 99,754 and 219,188 is: 481,618.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,754 : 219,188 = 219,188 : x
  2. Step 2: Convert to fraction form
    99,754/219,188 = 219,188/x
  3. Step 3: Cross multiply
    99,754x = 219,188 × 219,188
  4. Step 4: Simplify right side
    99,754x = 48,043,379,344
  5. Step 5: Solve for x
    x = 48,043,379,344/99,754
  6. Step 6: Final answer
    x = 481,618.58

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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.