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Finding the Third Proportional to 135,757.50 and 298,279.50

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Solution

The third proportional to 135,757.50 and 298,279.50 is: 655,364.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,757.50 : 298,279.50 = 298,279.50 : x
  2. Step 2: Convert to fraction form
    135,757.50/298,279.50 = 298,279.50/x
  3. Step 3: Cross multiply
    135,757.50x = 298,279.50 × 298,279.50
  4. Step 4: Simplify right side
    135,757.50x = 88,970,660,120.25
  5. Step 5: Solve for x
    x = 88,970,660,120.25/135,757.50
  6. Step 6: Final answer
    x = 655,364.60

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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.