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Finding the Third Proportional to 378,832 and 631,304

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Solution

The third proportional to 378,832 and 631,304 is: 1,052,035.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,832 : 631,304 = 631,304 : x
  2. Step 2: Convert to fraction form
    378,832/631,304 = 631,304/x
  3. Step 3: Cross multiply
    378,832x = 631,304 × 631,304
  4. Step 4: Simplify right side
    378,832x = 398,544,740,416
  5. Step 5: Solve for x
    x = 398,544,740,416/378,832
  6. Step 6: Final answer
    x = 1,052,035.57

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.