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Finding the Third Proportional to 548,880 and 821,016

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Solution

The third proportional to 548,880 and 821,016 is: 1,228,077.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,880 : 821,016 = 821,016 : x
  2. Step 2: Convert to fraction form
    548,880/821,016 = 821,016/x
  3. Step 3: Cross multiply
    548,880x = 821,016 × 821,016
  4. Step 4: Simplify right side
    548,880x = 674,067,272,256
  5. Step 5: Solve for x
    x = 674,067,272,256/548,880
  6. Step 6: Final answer
    x = 1,228,077.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.