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Finding the Third Proportional to 118,450 and 253,180

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Solution

The third proportional to 118,450 and 253,180 is: 541,157.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,450 : 253,180 = 253,180 : x
  2. Step 2: Convert to fraction form
    118,450/253,180 = 253,180/x
  3. Step 3: Cross multiply
    118,450x = 253,180 × 253,180
  4. Step 4: Simplify right side
    118,450x = 64,100,112,400
  5. Step 5: Solve for x
    x = 64,100,112,400/118,450
  6. Step 6: Final answer
    x = 541,157.56

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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.