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Finding the Third Proportional to 90,267 and 135,205

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Solution

The third proportional to 90,267 and 135,205 is: 202,514.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,267 : 135,205 = 135,205 : x
  2. Step 2: Convert to fraction form
    90,267/135,205 = 135,205/x
  3. Step 3: Cross multiply
    90,267x = 135,205 × 135,205
  4. Step 4: Simplify right side
    90,267x = 18,280,392,025
  5. Step 5: Solve for x
    x = 18,280,392,025/90,267
  6. Step 6: Final answer
    x = 202,514.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.