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Finding the Third Proportional to 176,218 and 381,109

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Solution

The third proportional to 176,218 and 381,109 is: 824,229.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,218 : 381,109 = 381,109 : x
  2. Step 2: Convert to fraction form
    176,218/381,109 = 381,109/x
  3. Step 3: Cross multiply
    176,218x = 381,109 × 381,109
  4. Step 4: Simplify right side
    176,218x = 145,244,069,881
  5. Step 5: Solve for x
    x = 145,244,069,881/176,218
  6. Step 6: Final answer
    x = 824,229.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.