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Finding the Third Proportional to 263,728 and 419,298

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Solution

The third proportional to 263,728 and 419,298 is: 666,636.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,728 : 419,298 = 419,298 : x
  2. Step 2: Convert to fraction form
    263,728/419,298 = 419,298/x
  3. Step 3: Cross multiply
    263,728x = 419,298 × 419,298
  4. Step 4: Simplify right side
    263,728x = 175,810,812,804
  5. Step 5: Solve for x
    x = 175,810,812,804/263,728
  6. Step 6: Final answer
    x = 666,636.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.