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Finding the Third Proportional to 171,764 and 378,412

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Solution

The third proportional to 171,764 and 378,412 is: 833,676.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,764 : 378,412 = 378,412 : x
  2. Step 2: Convert to fraction form
    171,764/378,412 = 378,412/x
  3. Step 3: Cross multiply
    171,764x = 378,412 × 378,412
  4. Step 4: Simplify right side
    171,764x = 143,195,641,744
  5. Step 5: Solve for x
    x = 143,195,641,744/171,764
  6. Step 6: Final answer
    x = 833,676.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.