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Finding the Third Proportional to 135,672.50 and 275,039

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Solution

The third proportional to 135,672.50 and 275,039 is: 557,566.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,672.50 : 275,039 = 275,039 : x
  2. Step 2: Convert to fraction form
    135,672.50/275,039 = 275,039/x
  3. Step 3: Cross multiply
    135,672.50x = 275,039 × 275,039
  4. Step 4: Simplify right side
    135,672.50x = 75,646,451,521
  5. Step 5: Solve for x
    x = 75,646,451,521/135,672.50
  6. Step 6: Final answer
    x = 557,566.58

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.