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Finding the Third Proportional to 177,384 and 381,011

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Solution

The third proportional to 177,384 and 381,011 is: 818,390.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,384 : 381,011 = 381,011 : x
  2. Step 2: Convert to fraction form
    177,384/381,011 = 381,011/x
  3. Step 3: Cross multiply
    177,384x = 381,011 × 381,011
  4. Step 4: Simplify right side
    177,384x = 145,169,382,121
  5. Step 5: Solve for x
    x = 145,169,382,121/177,384
  6. Step 6: Final answer
    x = 818,390.51

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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.