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Finding the Third Proportional to 306,469 and 649,797

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Solution

The third proportional to 306,469 and 649,797 is: 1,377,745.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,469 : 649,797 = 649,797 : x
  2. Step 2: Convert to fraction form
    306,469/649,797 = 649,797/x
  3. Step 3: Cross multiply
    306,469x = 649,797 × 649,797
  4. Step 4: Simplify right side
    306,469x = 422,236,141,209
  5. Step 5: Solve for x
    x = 422,236,141,209/306,469
  6. Step 6: Final answer
    x = 1,377,745.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.