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Finding the Third Proportional to 118,180 and 252,974

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Solution

The third proportional to 118,180 and 252,974 is: 541,511.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,180 : 252,974 = 252,974 : x
  2. Step 2: Convert to fraction form
    118,180/252,974 = 252,974/x
  3. Step 3: Cross multiply
    118,180x = 252,974 × 252,974
  4. Step 4: Simplify right side
    118,180x = 63,995,844,676
  5. Step 5: Solve for x
    x = 63,995,844,676/118,180
  6. Step 6: Final answer
    x = 541,511.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.