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Finding the Third Proportional to 90,738 and 136,197

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Solution

The third proportional to 90,738 and 136,197 is: 204,430.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,738 : 136,197 = 136,197 : x
  2. Step 2: Convert to fraction form
    90,738/136,197 = 136,197/x
  3. Step 3: Cross multiply
    90,738x = 136,197 × 136,197
  4. Step 4: Simplify right side
    90,738x = 18,549,622,809
  5. Step 5: Solve for x
    x = 18,549,622,809/90,738
  6. Step 6: Final answer
    x = 204,430.59

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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.