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Finding the Third Proportional to 328,956 and 683,769

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Solution

The third proportional to 328,956 and 683,769 is: 1,421,284.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,956 : 683,769 = 683,769 : x
  2. Step 2: Convert to fraction form
    328,956/683,769 = 683,769/x
  3. Step 3: Cross multiply
    328,956x = 683,769 × 683,769
  4. Step 4: Simplify right side
    328,956x = 467,540,045,361
  5. Step 5: Solve for x
    x = 467,540,045,361/328,956
  6. Step 6: Final answer
    x = 1,421,284.44

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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.