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Finding the Third Proportional to 171,762 and 378,408

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Solution

The third proportional to 171,762 and 378,408 is: 833,668.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,762 : 378,408 = 378,408 : x
  2. Step 2: Convert to fraction form
    171,762/378,408 = 378,408/x
  3. Step 3: Cross multiply
    171,762x = 378,408 × 378,408
  4. Step 4: Simplify right side
    171,762x = 143,192,614,464
  5. Step 5: Solve for x
    x = 143,192,614,464/171,762
  6. Step 6: Final answer
    x = 833,668.77

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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.