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Finding the Third Proportional to 128,160.50 and 275,293

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Solution

The third proportional to 128,160.50 and 275,293 is: 591,338.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,160.50 : 275,293 = 275,293 : x
  2. Step 2: Convert to fraction form
    128,160.50/275,293 = 275,293/x
  3. Step 3: Cross multiply
    128,160.50x = 275,293 × 275,293
  4. Step 4: Simplify right side
    128,160.50x = 75,786,235,849
  5. Step 5: Solve for x
    x = 75,786,235,849/128,160.50
  6. Step 6: Final answer
    x = 591,338.48

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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.