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Finding the Third Proportional to 181,442 and 379,408

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Solution

The third proportional to 181,442 and 379,408 is: 793,368.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,442 : 379,408 = 379,408 : x
  2. Step 2: Convert to fraction form
    181,442/379,408 = 379,408/x
  3. Step 3: Cross multiply
    181,442x = 379,408 × 379,408
  4. Step 4: Simplify right side
    181,442x = 143,950,430,464
  5. Step 5: Solve for x
    x = 143,950,430,464/181,442
  6. Step 6: Final answer
    x = 793,368.85

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.