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Finding the Third Proportional to 121,180 and 257,912

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Solution

The third proportional to 121,180 and 257,912 is: 548,923.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,180 : 257,912 = 257,912 : x
  2. Step 2: Convert to fraction form
    121,180/257,912 = 257,912/x
  3. Step 3: Cross multiply
    121,180x = 257,912 × 257,912
  4. Step 4: Simplify right side
    121,180x = 66,518,599,744
  5. Step 5: Solve for x
    x = 66,518,599,744/121,180
  6. Step 6: Final answer
    x = 548,923.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.