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Finding the Third Proportional to 290,548 and 629,353

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Solution

The third proportional to 290,548 and 629,353 is: 1,363,234.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,548 : 629,353 = 629,353 : x
  2. Step 2: Convert to fraction form
    290,548/629,353 = 629,353/x
  3. Step 3: Cross multiply
    290,548x = 629,353 × 629,353
  4. Step 4: Simplify right side
    290,548x = 396,085,198,609
  5. Step 5: Solve for x
    x = 396,085,198,609/290,548
  6. Step 6: Final answer
    x = 1,363,234.99

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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.