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Finding the Third Proportional to 307,872 and 672,192

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Solution

The third proportional to 307,872 and 672,192 is: 1,467,629.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,872 : 672,192 = 672,192 : x
  2. Step 2: Convert to fraction form
    307,872/672,192 = 672,192/x
  3. Step 3: Cross multiply
    307,872x = 672,192 × 672,192
  4. Step 4: Simplify right side
    307,872x = 451,842,084,864
  5. Step 5: Solve for x
    x = 451,842,084,864/307,872
  6. Step 6: Final answer
    x = 1,467,629.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.