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Finding the Third Proportional to 77,660 and 117,932

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Solution

The third proportional to 77,660 and 117,932 is: 179,087.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,660 : 117,932 = 117,932 : x
  2. Step 2: Convert to fraction form
    77,660/117,932 = 117,932/x
  3. Step 3: Cross multiply
    77,660x = 117,932 × 117,932
  4. Step 4: Simplify right side
    77,660x = 13,907,956,624
  5. Step 5: Solve for x
    x = 13,907,956,624/77,660
  6. Step 6: Final answer
    x = 179,087.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.