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Finding the Third Proportional to 179,933 and 387,109

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Solution

The third proportional to 179,933 and 387,109 is: 832,828.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,933 : 387,109 = 387,109 : x
  2. Step 2: Convert to fraction form
    179,933/387,109 = 387,109/x
  3. Step 3: Cross multiply
    179,933x = 387,109 × 387,109
  4. Step 4: Simplify right side
    179,933x = 149,853,377,881
  5. Step 5: Solve for x
    x = 149,853,377,881/179,933
  6. Step 6: Final answer
    x = 832,828.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.