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Finding the Third Proportional to 447,978 and 693,634

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Solution

The third proportional to 447,978 and 693,634 is: 1,073,999.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,978 : 693,634 = 693,634 : x
  2. Step 2: Convert to fraction form
    447,978/693,634 = 693,634/x
  3. Step 3: Cross multiply
    447,978x = 693,634 × 693,634
  4. Step 4: Simplify right side
    447,978x = 481,128,125,956
  5. Step 5: Solve for x
    x = 481,128,125,956/447,978
  6. Step 6: Final answer
    x = 1,073,999.45

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.