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Finding the Third Proportional to 128,193.75 and 275,013.56

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Solution

The third proportional to 128,193.75 and 275,013.56 is: 589,985.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,193.75 : 275,013.56 = 275,013.56 : x
  2. Step 2: Convert to fraction form
    128,193.75/275,013.56 = 275,013.56/x
  3. Step 3: Cross multiply
    128,193.75x = 275,013.56 × 275,013.56
  4. Step 4: Simplify right side
    128,193.75x = 75,632,459,558.94
  5. Step 5: Solve for x
    x = 75,632,459,558.94/128,193.75
  6. Step 6: Final answer
    x = 589,985.55

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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.