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Finding the Third Proportional to 328,950 and 683,757

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Solution

The third proportional to 328,950 and 683,757 is: 1,421,260.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,950 : 683,757 = 683,757 : x
  2. Step 2: Convert to fraction form
    328,950/683,757 = 683,757/x
  3. Step 3: Cross multiply
    328,950x = 683,757 × 683,757
  4. Step 4: Simplify right side
    328,950x = 467,523,635,049
  5. Step 5: Solve for x
    x = 467,523,635,049/328,950
  6. Step 6: Final answer
    x = 1,421,260.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.