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Finding the Third Proportional to 218,456 and 295,147

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Solution

The third proportional to 218,456 and 295,147 is: 398,761.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,456 : 295,147 = 295,147 : x
  2. Step 2: Convert to fraction form
    218,456/295,147 = 295,147/x
  3. Step 3: Cross multiply
    218,456x = 295,147 × 295,147
  4. Step 4: Simplify right side
    218,456x = 87,111,751,609
  5. Step 5: Solve for x
    x = 87,111,751,609/218,456
  6. Step 6: Final answer
    x = 398,761.09

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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.