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Finding the Third Proportional to 278,326 and 620,399

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Solution

The third proportional to 278,326 and 620,399 is: 1,382,892.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,326 : 620,399 = 620,399 : x
  2. Step 2: Convert to fraction form
    278,326/620,399 = 620,399/x
  3. Step 3: Cross multiply
    278,326x = 620,399 × 620,399
  4. Step 4: Simplify right side
    278,326x = 384,894,919,201
  5. Step 5: Solve for x
    x = 384,894,919,201/278,326
  6. Step 6: Final answer
    x = 1,382,892.43

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.