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Finding the Third Proportional to 79,713 and 173,439

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Solution

The third proportional to 79,713 and 173,439 is: 377,367.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,713 : 173,439 = 173,439 : x
  2. Step 2: Convert to fraction form
    79,713/173,439 = 173,439/x
  3. Step 3: Cross multiply
    79,713x = 173,439 × 173,439
  4. Step 4: Simplify right side
    79,713x = 30,081,086,721
  5. Step 5: Solve for x
    x = 30,081,086,721/79,713
  6. Step 6: Final answer
    x = 377,367.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.