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Finding the Third Proportional to 393,949 and 768,215

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Solution

The third proportional to 393,949 and 768,215 is: 1,498,047.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,949 : 768,215 = 768,215 : x
  2. Step 2: Convert to fraction form
    393,949/768,215 = 768,215/x
  3. Step 3: Cross multiply
    393,949x = 768,215 × 768,215
  4. Step 4: Simplify right side
    393,949x = 590,154,286,225
  5. Step 5: Solve for x
    x = 590,154,286,225/393,949
  6. Step 6: Final answer
    x = 1,498,047.43

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.