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Finding the Third Proportional to 328,980 and 683,808

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Solution

The third proportional to 328,980 and 683,808 is: 1,421,342.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,980 : 683,808 = 683,808 : x
  2. Step 2: Convert to fraction form
    328,980/683,808 = 683,808/x
  3. Step 3: Cross multiply
    328,980x = 683,808 × 683,808
  4. Step 4: Simplify right side
    328,980x = 467,593,380,864
  5. Step 5: Solve for x
    x = 467,593,380,864/328,980
  6. Step 6: Final answer
    x = 1,421,342.88

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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.