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Finding the Third Proportional to 150,908 and 319,806

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Solution

The third proportional to 150,908 and 319,806 is: 677,736.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,908 : 319,806 = 319,806 : x
  2. Step 2: Convert to fraction form
    150,908/319,806 = 319,806/x
  3. Step 3: Cross multiply
    150,908x = 319,806 × 319,806
  4. Step 4: Simplify right side
    150,908x = 102,275,877,636
  5. Step 5: Solve for x
    x = 102,275,877,636/150,908
  6. Step 6: Final answer
    x = 677,736.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.