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Finding the Third Proportional to 76,690 and 179,269

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Solution

The third proportional to 76,690 and 179,269 is: 419,055.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,690 : 179,269 = 179,269 : x
  2. Step 2: Convert to fraction form
    76,690/179,269 = 179,269/x
  3. Step 3: Cross multiply
    76,690x = 179,269 × 179,269
  4. Step 4: Simplify right side
    76,690x = 32,137,374,361
  5. Step 5: Solve for x
    x = 32,137,374,361/76,690
  6. Step 6: Final answer
    x = 419,055.61

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.