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Finding the Third Proportional to 135,286.88 and 214,211.25

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Solution

The third proportional to 135,286.88 and 214,211.25 is: 339,178.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,286.88 : 214,211.25 = 214,211.25 : x
  2. Step 2: Convert to fraction form
    135,286.88/214,211.25 = 214,211.25/x
  3. Step 3: Cross multiply
    135,286.88x = 214,211.25 × 214,211.25
  4. Step 4: Simplify right side
    135,286.88x = 45,886,459,626.56
  5. Step 5: Solve for x
    x = 45,886,459,626.56/135,286.88
  6. Step 6: Final answer
    x = 339,178.95

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.