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Finding the Third Proportional to 90,176 and 140,176

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Solution

The third proportional to 90,176 and 140,176 is: 217,899.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,176 : 140,176 = 140,176 : x
  2. Step 2: Convert to fraction form
    90,176/140,176 = 140,176/x
  3. Step 3: Cross multiply
    90,176x = 140,176 × 140,176
  4. Step 4: Simplify right side
    90,176x = 19,649,310,976
  5. Step 5: Solve for x
    x = 19,649,310,976/90,176
  6. Step 6: Final answer
    x = 217,899.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.