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Finding the Third Proportional to 128,142 and 275,228

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Solution

The third proportional to 128,142 and 275,228 is: 591,144.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,142 : 275,228 = 275,228 : x
  2. Step 2: Convert to fraction form
    128,142/275,228 = 275,228/x
  3. Step 3: Cross multiply
    128,142x = 275,228 × 275,228
  4. Step 4: Simplify right side
    128,142x = 75,750,451,984
  5. Step 5: Solve for x
    x = 75,750,451,984/128,142
  6. Step 6: Final answer
    x = 591,144.61

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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.