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Finding the Third Proportional to 118,622 and 189,718

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Solution

The third proportional to 118,622 and 189,718 is: 303,425.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,622 : 189,718 = 189,718 : x
  2. Step 2: Convert to fraction form
    118,622/189,718 = 189,718/x
  3. Step 3: Cross multiply
    118,622x = 189,718 × 189,718
  4. Step 4: Simplify right side
    118,622x = 35,992,919,524
  5. Step 5: Solve for x
    x = 35,992,919,524/118,622
  6. Step 6: Final answer
    x = 303,425.33

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.