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Finding the Third Proportional to 120,821 and 284,268

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Solution

The third proportional to 120,821 and 284,268 is: 668,826.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,821 : 284,268 = 284,268 : x
  2. Step 2: Convert to fraction form
    120,821/284,268 = 284,268/x
  3. Step 3: Cross multiply
    120,821x = 284,268 × 284,268
  4. Step 4: Simplify right side
    120,821x = 80,808,295,824
  5. Step 5: Solve for x
    x = 80,808,295,824/120,821
  6. Step 6: Final answer
    x = 668,826.58

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.