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Finding the Third Proportional to 328,949 and 683,754

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Solution

The third proportional to 328,949 and 683,754 is: 1,421,252.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,949 : 683,754 = 683,754 : x
  2. Step 2: Convert to fraction form
    328,949/683,754 = 683,754/x
  3. Step 3: Cross multiply
    328,949x = 683,754 × 683,754
  4. Step 4: Simplify right side
    328,949x = 467,519,532,516
  5. Step 5: Solve for x
    x = 467,519,532,516/328,949
  6. Step 6: Final answer
    x = 1,421,252.33

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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.