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Finding the Third Proportional to 90,516.75 and 126,608

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Solution

The third proportional to 90,516.75 and 126,608 is: 177,089.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,516.75 : 126,608 = 126,608 : x
  2. Step 2: Convert to fraction form
    90,516.75/126,608 = 126,608/x
  3. Step 3: Cross multiply
    90,516.75x = 126,608 × 126,608
  4. Step 4: Simplify right side
    90,516.75x = 16,029,585,664
  5. Step 5: Solve for x
    x = 16,029,585,664/90,516.75
  6. Step 6: Final answer
    x = 177,089.72

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.