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Finding the Third Proportional to 290,541 and 629,337

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Solution

The third proportional to 290,541 and 629,337 is: 1,363,198.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,541 : 629,337 = 629,337 : x
  2. Step 2: Convert to fraction form
    290,541/629,337 = 629,337/x
  3. Step 3: Cross multiply
    290,541x = 629,337 × 629,337
  4. Step 4: Simplify right side
    290,541x = 396,065,059,569
  5. Step 5: Solve for x
    x = 396,065,059,569/290,541
  6. Step 6: Final answer
    x = 1,363,198.51

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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.