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Finding the Third Proportional to 123,855 and 263,694

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Solution

The third proportional to 123,855 and 263,694 is: 561,418.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,855 : 263,694 = 263,694 : x
  2. Step 2: Convert to fraction form
    123,855/263,694 = 263,694/x
  3. Step 3: Cross multiply
    123,855x = 263,694 × 263,694
  4. Step 4: Simplify right side
    123,855x = 69,534,525,636
  5. Step 5: Solve for x
    x = 69,534,525,636/123,855
  6. Step 6: Final answer
    x = 561,418.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.