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Finding the Third Proportional to 115,112 and 177,589

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Solution

The third proportional to 115,112 and 177,589 is: 273,975.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,112 : 177,589 = 177,589 : x
  2. Step 2: Convert to fraction form
    115,112/177,589 = 177,589/x
  3. Step 3: Cross multiply
    115,112x = 177,589 × 177,589
  4. Step 4: Simplify right side
    115,112x = 31,537,852,921
  5. Step 5: Solve for x
    x = 31,537,852,921/115,112
  6. Step 6: Final answer
    x = 273,975.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.