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Finding the Third Proportional to 177,675 and 379,770

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Solution

The third proportional to 177,675 and 379,770 is: 811,736.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,675 : 379,770 = 379,770 : x
  2. Step 2: Convert to fraction form
    177,675/379,770 = 379,770/x
  3. Step 3: Cross multiply
    177,675x = 379,770 × 379,770
  4. Step 4: Simplify right side
    177,675x = 144,225,252,900
  5. Step 5: Solve for x
    x = 144,225,252,900/177,675
  6. Step 6: Final answer
    x = 811,736.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.