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Finding the Third Proportional to 175,450 and 378,481

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Solution

The third proportional to 175,450 and 378,481 is: 816,459.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,450 : 378,481 = 378,481 : x
  2. Step 2: Convert to fraction form
    175,450/378,481 = 378,481/x
  3. Step 3: Cross multiply
    175,450x = 378,481 × 378,481
  4. Step 4: Simplify right side
    175,450x = 143,247,867,361
  5. Step 5: Solve for x
    x = 143,247,867,361/175,450
  6. Step 6: Final answer
    x = 816,459.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.