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Finding the Third Proportional to 135,961.88 and 299,109.38

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Solution

The third proportional to 135,961.88 and 299,109.38 is: 658,025.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,961.88 : 299,109.38 = 299,109.38 : x
  2. Step 2: Convert to fraction form
    135,961.88/299,109.38 = 299,109.38/x
  3. Step 3: Cross multiply
    135,961.88x = 299,109.38 × 299,109.38
  4. Step 4: Simplify right side
    135,961.88x = 89,466,418,212.89
  5. Step 5: Solve for x
    x = 89,466,418,212.89/135,961.88
  6. Step 6: Final answer
    x = 658,025.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.