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Finding the Third Proportional to 126,821 and 274,777

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Solution

The third proportional to 126,821 and 274,777 is: 595,346.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,821 : 274,777 = 274,777 : x
  2. Step 2: Convert to fraction form
    126,821/274,777 = 274,777/x
  3. Step 3: Cross multiply
    126,821x = 274,777 × 274,777
  4. Step 4: Simplify right side
    126,821x = 75,502,399,729
  5. Step 5: Solve for x
    x = 75,502,399,729/126,821
  6. Step 6: Final answer
    x = 595,346.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.