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Finding the Third Proportional to 128,180 and 275,320

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Solution

The third proportional to 128,180 and 275,320 is: 591,364.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,180 : 275,320 = 275,320 : x
  2. Step 2: Convert to fraction form
    128,180/275,320 = 275,320/x
  3. Step 3: Cross multiply
    128,180x = 275,320 × 275,320
  4. Step 4: Simplify right side
    128,180x = 75,801,102,400
  5. Step 5: Solve for x
    x = 75,801,102,400/128,180
  6. Step 6: Final answer
    x = 591,364.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.