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Finding the Third Proportional to 118,978 and 175,177

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Solution

The third proportional to 118,978 and 175,177 is: 257,921.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,978 : 175,177 = 175,177 : x
  2. Step 2: Convert to fraction form
    118,978/175,177 = 175,177/x
  3. Step 3: Cross multiply
    118,978x = 175,177 × 175,177
  4. Step 4: Simplify right side
    118,978x = 30,686,981,329
  5. Step 5: Solve for x
    x = 30,686,981,329/118,978
  6. Step 6: Final answer
    x = 257,921.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.