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Finding the Third Proportional to 659,225 and 990,593

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Solution

The third proportional to 659,225 and 990,593 is: 1,488,527.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,225 : 990,593 = 990,593 : x
  2. Step 2: Convert to fraction form
    659,225/990,593 = 990,593/x
  3. Step 3: Cross multiply
    659,225x = 990,593 × 990,593
  4. Step 4: Simplify right side
    659,225x = 981,274,491,649
  5. Step 5: Solve for x
    x = 981,274,491,649/659,225
  6. Step 6: Final answer
    x = 1,488,527.42

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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.