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Finding the Third Proportional to 177,676 and 379,771

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Solution

The third proportional to 177,676 and 379,771 is: 811,736.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,676 : 379,771 = 379,771 : x
  2. Step 2: Convert to fraction form
    177,676/379,771 = 379,771/x
  3. Step 3: Cross multiply
    177,676x = 379,771 × 379,771
  4. Step 4: Simplify right side
    177,676x = 144,226,012,441
  5. Step 5: Solve for x
    x = 144,226,012,441/177,676
  6. Step 6: Final answer
    x = 811,736.04

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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.