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Finding the Third Proportional to 351,682 and 519,795

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Solution

The third proportional to 351,682 and 519,795 is: 768,270.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,682 : 519,795 = 519,795 : x
  2. Step 2: Convert to fraction form
    351,682/519,795 = 519,795/x
  3. Step 3: Cross multiply
    351,682x = 519,795 × 519,795
  4. Step 4: Simplify right side
    351,682x = 270,186,842,025
  5. Step 5: Solve for x
    x = 270,186,842,025/351,682
  6. Step 6: Final answer
    x = 768,270.32

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.