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Finding the Third Proportional to 79,690 and 171,675

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Solution

The third proportional to 79,690 and 171,675 is: 369,836.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,690 : 171,675 = 171,675 : x
  2. Step 2: Convert to fraction form
    79,690/171,675 = 171,675/x
  3. Step 3: Cross multiply
    79,690x = 171,675 × 171,675
  4. Step 4: Simplify right side
    79,690x = 29,472,305,625
  5. Step 5: Solve for x
    x = 29,472,305,625/79,690
  6. Step 6: Final answer
    x = 369,836.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.