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Finding the Third Proportional to 172,424 and 379,408

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Solution

The third proportional to 172,424 and 379,408 is: 834,863.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,424 : 379,408 = 379,408 : x
  2. Step 2: Convert to fraction form
    172,424/379,408 = 379,408/x
  3. Step 3: Cross multiply
    172,424x = 379,408 × 379,408
  4. Step 4: Simplify right side
    172,424x = 143,950,430,464
  5. Step 5: Solve for x
    x = 143,950,430,464/172,424
  6. Step 6: Final answer
    x = 834,863.07

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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.