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Finding the Third Proportional to 205,736 and 320,634

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Solution

The third proportional to 205,736 and 320,634 is: 499,699.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,736 : 320,634 = 320,634 : x
  2. Step 2: Convert to fraction form
    205,736/320,634 = 320,634/x
  3. Step 3: Cross multiply
    205,736x = 320,634 × 320,634
  4. Step 4: Simplify right side
    205,736x = 102,806,161,956
  5. Step 5: Solve for x
    x = 102,806,161,956/205,736
  6. Step 6: Final answer
    x = 499,699.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.