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Finding the Third Proportional to 177,606 and 387,756

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Solution

The third proportional to 177,606 and 387,756 is: 846,563.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,606 : 387,756 = 387,756 : x
  2. Step 2: Convert to fraction form
    177,606/387,756 = 387,756/x
  3. Step 3: Cross multiply
    177,606x = 387,756 × 387,756
  4. Step 4: Simplify right side
    177,606x = 150,354,715,536
  5. Step 5: Solve for x
    x = 150,354,715,536/177,606
  6. Step 6: Final answer
    x = 846,563.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.