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Finding the Third Proportional to 412,847 and 638,057

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Solution

The third proportional to 412,847 and 638,057 is: 986,120.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,847 : 638,057 = 638,057 : x
  2. Step 2: Convert to fraction form
    412,847/638,057 = 638,057/x
  3. Step 3: Cross multiply
    412,847x = 638,057 × 638,057
  4. Step 4: Simplify right side
    412,847x = 407,116,735,249
  5. Step 5: Solve for x
    x = 407,116,735,249/412,847
  6. Step 6: Final answer
    x = 986,120.13

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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.