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Finding the Third Proportional to 76,341 and 171,474

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Solution

The third proportional to 76,341 and 171,474 is: 385,157.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,341 : 171,474 = 171,474 : x
  2. Step 2: Convert to fraction form
    76,341/171,474 = 171,474/x
  3. Step 3: Cross multiply
    76,341x = 171,474 × 171,474
  4. Step 4: Simplify right side
    76,341x = 29,403,332,676
  5. Step 5: Solve for x
    x = 29,403,332,676/76,341
  6. Step 6: Final answer
    x = 385,157.81

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.