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Finding the Third Proportional to 123,036 and 268,305

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Solution

The third proportional to 123,036 and 268,305 is: 585,093.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,036 : 268,305 = 268,305 : x
  2. Step 2: Convert to fraction form
    123,036/268,305 = 268,305/x
  3. Step 3: Cross multiply
    123,036x = 268,305 × 268,305
  4. Step 4: Simplify right side
    123,036x = 71,987,573,025
  5. Step 5: Solve for x
    x = 71,987,573,025/123,036
  6. Step 6: Final answer
    x = 585,093.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.