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Finding the Third Proportional to 128,161 and 275,294

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Solution

The third proportional to 128,161 and 275,294 is: 591,340.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,161 : 275,294 = 275,294 : x
  2. Step 2: Convert to fraction form
    128,161/275,294 = 275,294/x
  3. Step 3: Cross multiply
    128,161x = 275,294 × 275,294
  4. Step 4: Simplify right side
    128,161x = 75,786,786,436
  5. Step 5: Solve for x
    x = 75,786,786,436/128,161
  6. Step 6: Final answer
    x = 591,340.47

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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.