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Finding the Third Proportional to 171,626 and 378,156

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Solution

The third proportional to 171,626 and 378,156 is: 833,218.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,626 : 378,156 = 378,156 : x
  2. Step 2: Convert to fraction form
    171,626/378,156 = 378,156/x
  3. Step 3: Cross multiply
    171,626x = 378,156 × 378,156
  4. Step 4: Simplify right side
    171,626x = 143,001,960,336
  5. Step 5: Solve for x
    x = 143,001,960,336/171,626
  6. Step 6: Final answer
    x = 833,218.51

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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.