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Finding the Third Proportional to 199,469 and 299,353

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Solution

The third proportional to 199,469 and 299,353 is: 449,253.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,469 : 299,353 = 299,353 : x
  2. Step 2: Convert to fraction form
    199,469/299,353 = 299,353/x
  3. Step 3: Cross multiply
    199,469x = 299,353 × 299,353
  4. Step 4: Simplify right side
    199,469x = 89,612,218,609
  5. Step 5: Solve for x
    x = 89,612,218,609/199,469
  6. Step 6: Final answer
    x = 449,253.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.