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Finding the Third Proportional to 171,742 and 378,368

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Solution

The third proportional to 171,742 and 378,368 is: 833,589.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,742 : 378,368 = 378,368 : x
  2. Step 2: Convert to fraction form
    171,742/378,368 = 378,368/x
  3. Step 3: Cross multiply
    171,742x = 378,368 × 378,368
  4. Step 4: Simplify right side
    171,742x = 143,162,343,424
  5. Step 5: Solve for x
    x = 143,162,343,424/171,742
  6. Step 6: Final answer
    x = 833,589.59

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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.