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Finding the Third Proportional to 280,021 and 614,474

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Solution

The third proportional to 280,021 and 614,474 is: 1,348,392.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,021 : 614,474 = 614,474 : x
  2. Step 2: Convert to fraction form
    280,021/614,474 = 614,474/x
  3. Step 3: Cross multiply
    280,021x = 614,474 × 614,474
  4. Step 4: Simplify right side
    280,021x = 377,578,296,676
  5. Step 5: Solve for x
    x = 377,578,296,676/280,021
  6. Step 6: Final answer
    x = 1,348,392.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.