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Finding the Third Proportional to 77,976 and 118,606

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Solution

The third proportional to 77,976 and 118,606 is: 180,406.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,976 : 118,606 = 118,606 : x
  2. Step 2: Convert to fraction form
    77,976/118,606 = 118,606/x
  3. Step 3: Cross multiply
    77,976x = 118,606 × 118,606
  4. Step 4: Simplify right side
    77,976x = 14,067,383,236
  5. Step 5: Solve for x
    x = 14,067,383,236/77,976
  6. Step 6: Final answer
    x = 180,406.58

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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.