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Finding the Third Proportional to 378,819 and 631,287

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Solution

The third proportional to 378,819 and 631,287 is: 1,052,015.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,819 : 631,287 = 631,287 : x
  2. Step 2: Convert to fraction form
    378,819/631,287 = 631,287/x
  3. Step 3: Cross multiply
    378,819x = 631,287 × 631,287
  4. Step 4: Simplify right side
    378,819x = 398,523,276,369
  5. Step 5: Solve for x
    x = 398,523,276,369/378,819
  6. Step 6: Final answer
    x = 1,052,015.02

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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.