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Finding the Third Proportional to 99,225 and 203,715

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Solution

The third proportional to 99,225 and 203,715 is: 418,239.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,225 : 203,715 = 203,715 : x
  2. Step 2: Convert to fraction form
    99,225/203,715 = 203,715/x
  3. Step 3: Cross multiply
    99,225x = 203,715 × 203,715
  4. Step 4: Simplify right side
    99,225x = 41,499,801,225
  5. Step 5: Solve for x
    x = 41,499,801,225/99,225
  6. Step 6: Final answer
    x = 418,239.37

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.