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Finding the Third Proportional to 328,967 and 683,783

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Solution

The third proportional to 328,967 and 683,783 is: 1,421,295.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,967 : 683,783 = 683,783 : x
  2. Step 2: Convert to fraction form
    328,967/683,783 = 683,783/x
  3. Step 3: Cross multiply
    328,967x = 683,783 × 683,783
  4. Step 4: Simplify right side
    328,967x = 467,559,191,089
  5. Step 5: Solve for x
    x = 467,559,191,089/328,967
  6. Step 6: Final answer
    x = 1,421,295.12

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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.