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Finding the Third Proportional to 77,198 and 115,980

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Solution

The third proportional to 77,198 and 115,980 is: 174,244.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,198 : 115,980 = 115,980 : x
  2. Step 2: Convert to fraction form
    77,198/115,980 = 115,980/x
  3. Step 3: Cross multiply
    77,198x = 115,980 × 115,980
  4. Step 4: Simplify right side
    77,198x = 13,451,360,400
  5. Step 5: Solve for x
    x = 13,451,360,400/77,198
  6. Step 6: Final answer
    x = 174,244.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.