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Finding the Third Proportional to 378,458 and 447,578

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Solution

The third proportional to 378,458 and 447,578 is: 529,321.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,458 : 447,578 = 447,578 : x
  2. Step 2: Convert to fraction form
    378,458/447,578 = 447,578/x
  3. Step 3: Cross multiply
    378,458x = 447,578 × 447,578
  4. Step 4: Simplify right side
    378,458x = 200,326,066,084
  5. Step 5: Solve for x
    x = 200,326,066,084/378,458
  6. Step 6: Final answer
    x = 529,321.79

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.