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Finding the Third Proportional to 378,860 and 631,348

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Solution

The third proportional to 378,860 and 631,348 is: 1,052,104.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,860 : 631,348 = 631,348 : x
  2. Step 2: Convert to fraction form
    378,860/631,348 = 631,348/x
  3. Step 3: Cross multiply
    378,860x = 631,348 × 631,348
  4. Step 4: Simplify right side
    378,860x = 398,600,297,104
  5. Step 5: Solve for x
    x = 398,600,297,104/378,860
  6. Step 6: Final answer
    x = 1,052,104.46

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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.