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Finding the Third Proportional to 76,694 and 179,278

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Solution

The third proportional to 76,694 and 179,278 is: 419,075.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,694 : 179,278 = 179,278 : x
  2. Step 2: Convert to fraction form
    76,694/179,278 = 179,278/x
  3. Step 3: Cross multiply
    76,694x = 179,278 × 179,278
  4. Step 4: Simplify right side
    76,694x = 32,140,601,284
  5. Step 5: Solve for x
    x = 32,140,601,284/76,694
  6. Step 6: Final answer
    x = 419,075.82

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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.