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Finding the Third Proportional to 177,678 and 379,775

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Solution

The third proportional to 177,678 and 379,775 is: 811,744.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,678 : 379,775 = 379,775 : x
  2. Step 2: Convert to fraction form
    177,678/379,775 = 379,775/x
  3. Step 3: Cross multiply
    177,678x = 379,775 × 379,775
  4. Step 4: Simplify right side
    177,678x = 144,229,050,625
  5. Step 5: Solve for x
    x = 144,229,050,625/177,678
  6. Step 6: Final answer
    x = 811,744.00

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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.