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Finding the Third Proportional to 306,192 and 672,162

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Solution

The third proportional to 306,192 and 672,162 is: 1,475,550.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,192 : 672,162 = 672,162 : x
  2. Step 2: Convert to fraction form
    306,192/672,162 = 672,162/x
  3. Step 3: Cross multiply
    306,192x = 672,162 × 672,162
  4. Step 4: Simplify right side
    306,192x = 451,801,754,244
  5. Step 5: Solve for x
    x = 451,801,754,244/306,192
  6. Step 6: Final answer
    x = 1,475,550.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.