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Finding the Third Proportional to 218,451.75 and 295,142

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Solution

The third proportional to 218,451.75 and 295,142 is: 398,755.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,451.75 : 295,142 = 295,142 : x
  2. Step 2: Convert to fraction form
    218,451.75/295,142 = 295,142/x
  3. Step 3: Cross multiply
    218,451.75x = 295,142 × 295,142
  4. Step 4: Simplify right side
    218,451.75x = 87,108,800,164
  5. Step 5: Solve for x
    x = 87,108,800,164/218,451.75
  6. Step 6: Final answer
    x = 398,755.33

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.