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Finding the Third Proportional to 135,722.25 and 275,136.75

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Solution

The third proportional to 135,722.25 and 275,136.75 is: 557,758.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,722.25 : 275,136.75 = 275,136.75 : x
  2. Step 2: Convert to fraction form
    135,722.25/275,136.75 = 275,136.75/x
  3. Step 3: Cross multiply
    135,722.25x = 275,136.75 × 275,136.75
  4. Step 4: Simplify right side
    135,722.25x = 75,700,231,200.56
  5. Step 5: Solve for x
    x = 75,700,231,200.56/135,722.25
  6. Step 6: Final answer
    x = 557,758.45

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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.